 Centamarr which is on chemistry, it will be on chemistry, only two question, do not, only 12 half you are like, yes, yes, yes, relax, relax, relax, physics, physics, physics. Yes, yes, yes, yes, yes, yes, yes, yes. So guys, yes, you guys you have the camp on on this Sunday. So based on what all things will be required for Kaman extra, beyond motion, I have not included any question of motion today Okay, motion is what you guys know, we have done good amount of questions and practised sessions over motion Beyond motion, little bit, vector is also coming, right? Small amount of change today, okay? Sure, clear? So today we are going through the questions which are Today we are going through the questions which are, today we are going through the questions which are from Okay, okay, okay, okay, okay, okay, okay Sir, what time is the Kaman test? That will be announced thoroughly by Rohit sir, okay? Sir, vectors is coming for Kaman, right? Yes, repeat? True and false today? True and false No true and false Yeah, we are thoroughly discussing about Kaman, okay, Kaman scenario, okay? The topic for today? With the vectors So here we go to question number one, ready? So, Rohit is saying to wait for two minutes because there is a power cut in this area Okay, okay, fine, fine, fine, fine, okay, we will wait for two minutes, right? So vectors, vectors, vectors, vectors, AI plus BJ plus CK is a vector So in that scenario, what will be the magnitude of the vector quickly over the chat? If AI square root, okay, by then V, A square plus B square plus C square Square root A square plus B square plus C square, very good The magnitude of a unit vector is equal to The magnitude of a unit vector is equal to Beautiful, beautiful, you guys are aware about the scenario, okay? So R for ready, R for ready for the quiz, everyone R for ready for the quiz R for ready, R for ready, very good, very good And here we go to question number one Read, calculate, respond The unit vector along I plus J is Along is the word which is telling you that direction sense, okay? The direction should be along I plus J The magnitude is what a unit vector should have So epically easy, wow Good, good, good, guys, so you guys will be finishing this before the allotted time, I guess Good, 53, 54 people have responded, still 20 seconds are remaining It's going to be good, it's going to be good, it's going to be good No trap, relax Easy calculation will lead you As we are focusing toward camera, no trap, nothing Only learning, simple, smooth learning, okay? See, now, relax, relax, relax This was the question, okay? Now, for this question, the chance Really no, no chatting, etc. over the Miscellaneous, okay? In fact, the unit vector along, now, but wherever there is a vector v A unit vector along the vector is equals to the vector v Divided by the magnitude of the vector Now, for this vector, what is the magnitude? The magnitude of this vector is equal to square root 1 plus 1 So, a unit vector along this vector will be this vector Divided by its own magnitude Easy, easy, easy, relax Good, got it, very good, very good, very good, very good, very good, very good, very good So, answer C C, C, C, C, okay? Good, leaderboard 23 people only got to try it out of 60 or people present Puja, Drogh, Pratik, Anuya, Parth and Sriram Very good, very good, very good Our champions are fulfilling the whole leaderboard Good, good, good, good, good Here we go to the next question Relax, read and respond I repeat, relax, read and respond A vector is represented by Its length in the XY plane is XY plane, only in the XY plane Relax and respond Relax, think and respond Relax, calculate and respond Good, Drogh, very good, very good, very good No, there is no, I am promising you no trap If you apply your concepts to the point You will get a relaxed correct answer C 25 people only, 19 and 11 and 10 people are deviated Beta, please look What is the scene only in the XY plane Its XY plane part is this What is its length here? Square root of 3, square 9 Plus, suppose they would have been asking only in the XZ Then your answer is square root of 9 Plus 4 Only in YZ, square root of 1 Plus 4, got it? Good, on the other line they can also ask What is its length along the X axis? 3, along the Y axis, 1 Along the Z axis, 2, G, I, got it? Very good, very good, very good Leaderboard, 23 in the previous one 25 and now, same 25 people I guess Pooja, Dhruv, Prateek, Anuya, Rudra, Ditya Ahaan, good, the fastest one to respond This was Monisha, very good Monisha Vachey 1, 2 and here we go to the next question Unit vector parallel to the resultant of Vectors A and Vector B Parallel to the resultant of Vector A and Vector B Calculations will be required which is directly showing in the type like the wave of answers coming Good, good, good, you guys are calculating No beta, it's not like just giving away I am just like making your mind up Good, not like it's not about For very few people, right? It's about everyone So as of now, instead of concentrating On the right valabar, my concentration is on the wrong valabars There should not be any wrong valabar That's what my target is Good response, good, very good, very good, very good For clarification, please look here Unit vectors parallel to the resultant of The word resultant indicates addition Of the two vectors, if no word is stated They can also state a word parallel to the resultant Of A minus B, that is a different scenario But if they are saying only the word resultant Then it means addition, when you add the two vectors I got added with I, which is 12 I J got added with J, which is coincidentally 5 J, a unit vector is required So divided by its own magnitude, you know This is a Pythagorean triplet, divided by 13 Will be the answer, bravo G, I, everyone got it, very good, very good, very good Very good, very good, please Yes dear Why do we divide it by 13? Because we did not need any vector We need a unit vector In order to create a unit vector out of any vector Our response was a vector which was 12 I plus 5 J, right? This is a vector A healthy vector, but this isn't a unit vector In order to make a vector a unit vector We divide the vector by its own magnitude The magnitude of these is 144 plus 25 in a square root Square root 169, that is 30 Got it Bache? Yes sir Good, good, very good, very good People good, let's reduce the number of wrong bars More and Dhruv Did not respond to this I guess or he made a mistake Pratik, Manisha, who is the fastest? Taran is the fastest one to respond, very good And here we go to the next question A truck travelling do not At 20 meter per second turns West and travels At the same speed The change in its velocity B The change, very good Now people are stuck, they are thinking that's beautiful Relax, read, calculator, very good, very good Manisha No problem, no problem, relax, relax Guys, relax First thing first, relax This is the question Okay, this is the question, relax How do you calculate change? That's why, right? How do you calculate change? That's what, how do you calculate change? How do you calculate change? Change, change, just change, change in anything Final minus initial Very good, beautiful Bache, very good, beautiful Now initial value was There is a movement toward north, right? 20 meter per second Turns west, right? Clear, fine, good Very good, very good, very good Now understand here, what you have to do? This is vector final Okay, I'll state it as final This is vector initial, you have to do final Minus initial, right? Can you do final plus Negative of initial, am I clear with this line? Yes or no, clear? Good, can I say west Plus south Better, final minus initial Change has to be calculated as final minus initial Namrata, namrata, namrata, change has to be calculated It is final minus initial vector, right? Clear, now final minus initial Final minus initial, final minus initial Okay, can be stated as final plus Opposite of initial, yes or no? Take minus i Better because it is saying final minus, we have to calculate the change So we have to check final minus initial Okay, fine, good In that way, what you are doing? When this is changed to opposite It will become toward south Say yes, the same word 20 meter per second Clear, and their addition will go like this Which direction is it? Southwest, what will be the magnitude? The square root a square Plus b square Plus 2ab Cos 90 The value of cos 90 is 0 That will make this whole 0 400 into 2 is 20 root 2 Gi, got it, got it guys Got it, got it Take this once more, yes dear please, no problem You got this line Bacha, point number 1 Because we have to calculate change We will get final minus initial Okay, fine Good, this can be stated as this Okay, fine, final is toward west Initial was toward north, so the opposite Of it will be toward south, easy By parallelogram law of vector addition If one vector is this way and one vector is this way Then their resultant will be along the diagonal Who is along the diagonal, south-west is along the diagonal Got it? Sir, I didn't understand that Relax How does it turn? Minus the west So how does it go south-west? How did you do the dotted south-west? Sir, it should be north-west because it's traveling Do you know Wait, wait, wait Relax It is going here North 20 meter per second To work north This is our initial vector position Initial velocity position Then it turns toward west And goes with the same speed So it will make a square actually, right or not? Same method It is going toward west with 20 meter per second That's the final We are asked to calculate the change The change is calculated by Final minus initial Okay, sure, no doubt Final is 20 toward west Minus initial is 20 toward north The problem is If there would have been two vectors Like vector 1 is equal to 2i minus j And vector 2 is equal to 3i plus j minus k type And then it is asked me To subtract then it is very easy for me 2i minus 3i is minus i Minus j minus j is minus 2j And minus minus plus k, yes or no? No doubt in this But the problem over here is They are not in IGK format They are in vector and direction Magnitude and direction format And for them we apply Parallelogram law and triangle law Of vector addition, yes or no? Yes or no? Yes or no? Right? Good I stated you that triangle law Is applied when they are Continuous vectors They were continuous if they had to be added When they have to be subtracted This becomes plus This minus goes in It becomes 20 toward south Any doubt? So the new operation we have To make is 20 west Has to be added with 20 south The resultant will be along the diagonal By parallelogram law of vector addition And this direction is for pretty Obvious reason south west Yes or no? Excuse me sir So why did we subtract west? Why did we We did not subtract west we subtracted North from west Yes sir but the option D is 20 root 2 meters per second South minus west That is stating south west It is south west Okay Direction south west No problem One thing is being noted Over the chat I never interfere Into whatever fun we have in the class But there is I guess there is a particular Word which is being used In order to tease someone Whatever might be the background of it That word should not be reflected Again in the chat Else I will make this quiz Offline quiz how You will only receive the mentee I will take myself out of the moxa Ready That word should not be Repeated over the chat Okay Thank you very much guys Can we proceed to the next question Question number 5 All clear so please remember If there are vectors In the form of IJK Okay you can add or subtract Them without bringing any change But in there are vectors in directions And magnitudes separately given Then you will have to apply triangle Or parallelogram law To add and subtract them Especially while subtracting them Please be extra careful Got it Very good guys Good Look into the like leaderboard first Anuya Nishant Haritha And the fastest one to respond is Nishant Here we go to the next question Good guys good discussion LD discussion is really The sum of two unit Vectors is a unit vector Again then Magnitude of Difference is Simple it is given that A plus B is equal To Something clear Something what then What is the magnitude Of A minus B Now this is a bit lengthy It is a bit tricky if you have responded And got it right beautifully The number of seconds required To answer are surely Like are surely Unimportant Good good good Team people only got it right Very good Shivam very good Very good Very good relax We will discuss it Okay there is a unit vector V1 There is a unit vector V2 The addition is coming out to be If the sum of the Two unit vector is a unit vector Is coming out to be another Unit vector only Then the question Is then the magnitude Of difference is What will be their difference Okay So Good now For very obvious reason we are not following The criterion of IJNK We will have to go and play with the Magnitude scenario When two vectors are added Their magnitude goes like Magnitude of one square Which is one Magnitude of second vector square Which is also one plus two into Magnitude of first vector one Two into magnitude of second vector One into cos Theta This is given as one Got this line Y or N Good Very good Very good very good Can we have No no Amit did not get it Amit beta Unmute Amit You know now if two vectors have to be Added by triangle or Parallelogram law of vector addition Their The magnitude Of their resultant So how on your How did you get one Beta it is given that they are unit vectors What is the magnitude of a unit vector One Right so magnitude of a square one One one one Two into one into one cos Theta is given as one Is this thing coming out to be a unit vector Yes or no got it DfN Got it or not Yes I got it So for this scenario what is being stated Is Squaring on both the side you will get Two Plus Two cos theta equal to one Two cos theta Equal to minus one Cos theta equal to minus One by two Y or N Y or N Y or N You know it very well when they are being Added it is a plus When they are being subtracted it will Become a minus a square Plus b square minus Two a b cos theta We know this is minus one by two Yes or no yes or no yes or no Good Two and two what cancelled Minus will make it minus one One and one square root Three is the answer Got it everyone got it Everyone got it Especially those who do not get it Beta please good Good good good good good good Ashish relax There is nothing difficult in Camon Relax keep what is being taught In mind that will be Fairly sufficient Okay guys moving forward Leaderboard So again a good shuffle will be observed Yes Good Monisha is at the top rank Good Next question the three Vectors a b and c form Relax Take your time and calculate In order to form an equilateral triangle Their length should be equal Calculate their length In order to make a right Angle triangle one of them should Have a dot product equal To zero clear The verification Which you will use for an equilateral triangle Will thoroughly work for a Isosceles triangle It can also be utilized for An equilateral triangle provided You get a Pythagorean triplet That's why the best method Of calculating this question Is to calculate the magnitude of The three vectors That will be shown It's a right Angle triangle Relax look here Guys again I will repeat you know What should be done with the question The magnitude of A is 9 plus 4 plus 1 The magnitude of this is 1 plus 9 plus 25 The magnitude of this Is 16, 20, 21 For very obvious reason Square this, square this And add you will get this So hence it is a Pythagorean triplet Got it Repeat See there were three vectors Okay With that the magnitude of all three A, B and C We found that The magnitude of this is 14 The magnitude of this is 21 And the magnitude of this is 35 Which is very valid prove that They are a Pythagorean triplet 14s 21 is equal to 35 P square plus B Square is equals to X square Got it Any doubt? Sir another thing Yes please welcome Sir how do we prove its equilateral triangle If we have like three of them So that's why The best method for proving anything Is calculation of magnitude Okay The magnitudes will come All three magnitudes will come same It will be an equilateral triangle Two will come same and they are not Satisfying a Pythagorean triplet Right triangle Sir if all three are different And then it doesn't Satisfying a Pythagorean Satisfying a Pythagorean No triangle Yeah Okay Very good Next question And before that we need to both Manisha is still playing Good Pooja, Haritha Okay Haritha is the one Okay rest in peace Floor Gang this is someone from Indra Nagara So don't do that Next question If two vectors Are parallel to each other Then the value of lambda is Positive negative doesn't matter As of now okay the value of lambda is Positive or negative doesn't matter It should be in mod The value of lambda is Now it should be maximum correct Why? Please note this Note two lines Line number one For a vector pair that is b1 is equals to a1i Plus b1j Plus c1k And a2i Plus c2k V1 is Parallel to v2 Provided a1 upon a2 Is equals to b1 upon b2 Is equals to c1 upon c2 Guys Very good Namrata very good You got only one wrong in this space very good Okay and then V1 is Perpendicular to v2 implies that a1 into a2 v1 into b2 plus c1 into c2 should be equal to 0 Similarly here 2 So I don't think you taught iron or this Hmm I taught I remember He taught iron I very thoroughly remember okay Oh sorry 2 minus 2 So this number into minus 2 should be equal to this This is 1 so it should come as Minus 2 Okay it should be plus 2 here Okay that's why I use that word Please ignore the positive or negative sign The actual Value of lambda should be The actual value of lambda Should be minus 2 Okay Guys yes Amit I will repeat Repeat I am repeating the line Please remember What am I stating I am stating that I will try a bit I am stating that If there is a vector 1 No this is very bad If there is a vector 1 and there is a vector 2 With a1, b1, c1 With respective IJNK And a2, b2 And c2 With respective IJK Then vector 1 Is parallel to vector 2 If they are proportional Okay a1 upon a2 Is equal to b1 upon b2 Is equal to c1 upon c2 Similar 2, 2's are 3, 2's are So 1, 2's are 2 It should become as 2 I stated that ignore the sign Positive or negative Similarly if they would have asked That they are perpendicular Then a1 a2 Plus b1 b2 Is c1 c2 Okay So could you please explain that one Which one is it a parallel or perpendicular? Both They are parallel Then their coefficient should be Proportional a1 upon a2 Should be equal to b1 upon b2 Should be equal to c1 upon c2 And they are perpendicular Then the product individual Corresponding product ksum Should be 0 By cos theta That is dot product This output is coming by Sin theta that is cross theta Okay Don't worry But in total I had kept 12 questions for today Okay can we proceed Got it, got it, everyone got it Everyone got it So I did not do this cos Sir if napple has physics Center Okay, okay, okay, okay Anush Please remind me, okay Here Here we go to the leader board Namrata was the fastest one And she is leading the scoreboard As well and here we go to the next question 2 vectors a and b Are at right angle to each other When I just not told you guys tsunami of answer I just not told you guys No mistake in this Just now I told you Perpendicular and parallel Perpendicular is what is called At 90 degree or at right angle Just in case you don't know Okay Relax, relax, relax Good guys, please remember No beta Dot product I just not told you Dot product, okay A Sir, but then isn't the Dot the same as a into b No beta There are two types of product A cross b and a dot b are Two different But in math Relax, relax Sir I just see Thinking that it was multiplication So I chose a because You had written a A1 times a2 Plus b1 times b2 Plus b1 So I told Dot product in cross product He this A1, A2, b1, b2, c1, c2 Dot product is coming out of Cos theta which is determined by Dot product and then I said This A1 upon A2, b1 upon b2 C1 upon c2 is coming out of Sin theta derived from Cross product Please remember this now Okay, please, please remember What is the basic definition I am writing it over here, okay What is the basic definition Definition, basic definition Okay For very obvious reason beta Vector A plus vector B are at 90 degree Their addition is not going to be Zero Neither their subtraction is If this is their addition This is going to be their subtraction Their cross multiplication And their dot multiplication The dot multiplication Will be equal to zero when they are Appendicular why because by the Definition dot multiplication Between two vectors Is magnitude of A Into magnitude of B Into Cos theta The cross product between two vectors Is magnitude of A Into magnitude of B Into Sin theta At theta equal to 90 degree Cos will be zero Hence dot product will be zero Theta equal to 90 Yes, please So this This means that When somebody says that dot product of A and B Is equal to zero Then that means that the resultant magnitude Of the Vector's product is zero Yes, the product of the two Vectors will be zero Okay So the answer is D for this question Scalar product For sin it will be Zero or what Sin 90 is 1 meter Okay So the answer is D then The answer is D for where you show reasons Okay Okay, everyone Everyone better feel free to ask doubt For the very same reason I have kept less Number of question because I was aware That for particular question there will be a longer Discussion Ready, all okay Okay, and don't understood dot product Understand here for everyone You might be a routine Attendant of my classes or might not Relax There was an age when it was told to you That 2 plus 3 is there So count 2 And then count 3 4 5 Your answer will come out to be fine Yes or no, you accepted that Okay, this is the sin Yes or no Understand Now there is a statement Being given to you by If there is this sin between 2 vectors Then it means Multiply the individual magnitude Of the vectors And take the cosine Of the angle between them Okay, this is Defined as dot product G I got it Definitely So the final magnitude is 0 How it will be 0 I will tell you, relax okay So serious Now suppose we are doing 4 I multiplied by 2 I 2 vectors are there And they are being Multiplied as dot Then your answer is Magnitude of vector 1 Into magnitude of Vector 2 into cosine Of angle between them What is the angle between I and I 0 degree So what is cost 0 1 So their answer will be straight 8 Got it? Okay Sir do you know if INR has a physics class Before came on If INR has a physics class before Came on, tomorrow is Tomorrow Okay so sir could you Revise the cost No problem This cost If you remember Our last class I was rushing through things Yes, relax More revision So tomorrow you can teach Like a lot Okay Everyone else is also here Guys got this Different people were asking Second line Now suppose if we are doing 4 I Multiplied with 2K Or 2J for example Your answer will remain the same 4 into 4 What is cosine of Angle, what is the angle 90 degree because the angle between X axis and Z axis Is 90 The value of cost 90 is 0 That will make this whole Angle as 0 And that is why it is said If when two vectors are perpendicular Their dot product will be 0 Got it? Sir then 4 I into 2 I is not equal 4 I into 2 K No Sure you are not Okay Very good Excuse me sir Yes dear Sir can you have physics class tomorrow Ayanna we do have We do have a physics class Sir full Okay welcome Okay Next question And before that the leader board Please mute Someone has left it un-mute Karun MPS HSR9 Was the fastest one to respond Very good Karun, Sriram is maintaining A good LD top position From quite a good number of questions Manisha is fighting consistently With Sriram And here we go to the next question The angle between Two vectors Is simple Quick and hard Very healthy Very healthy very much based on What we were discussing at last This is exactly like previous question Or previous to Previous question the lambda Question People will have the 2 hour class Tomorrow Do whatever best Can be done on that But it's not motivating For me if everyone wants physics The case should have been the reverse The answer Physics will be sorted don't worry about it 25 people 25 people 25 people got it right Understand same thing When you do dot product you get 25 to i You get j to j is coming out Minus 25 The total answer is 0 we just now stated When dot product is 0 They are perpendicular Got it everyone Good good good good Please look at the lead board What happened Neither Manisha nor Sriram How come Sir I realized one second after answering That I had answered No problem Very good Here we go to the next Question Definition is given Read it and then respond It is given It is given Definition I am very much As a human I stated I could also stated 25 Tan theta is equal to 1 upon theta Defined Relax Look at the definition that's why I said Yes Yes yes Manisha no problem No problem no problem 29 people got it right We have to still fight with 25 5 and 8 people For the like For the rights of Where we are here Let us see it is given Tan theta Okay Is equal to 1 upon cot theta So cot theta is equal to 1 upon tan theta So cot 30 will be equal to 1 upon tan 30 So 1 upon tan 30 is like this Easy So can you give us the values for Tan Just as we are only given for Cos and sin I have also given for tan Sine Cos Okay and tan Sine 0 30 45 60 and 90 Sine is 0 1 by 2 root 2 root 3 by 2 and 1 Cos is 1 root 3 by 2 1 by root 2 1 by 2 and 0 Tan is the ratio of the 2 0 by 1 0 2 and 2 got cancelled 1 by root 3 root 2 and root 2 got cancelled 1 by 1 is 1 2 and 2 got cancelled 3 1 by 0 or also stated as not defined Yes, I will repeat the explanation no problem beta So look here it is given that tan theta is equal to 1 upon cot theta okay which implies that cot theta is equal to 1 upon tan theta So if someone will ask us cot 30 We will say okay 1 upon tan 30 Here we know tan 30 is 1 by root 3 So the answer is here Got it got it got it got it got it everyone Sir can you just wait a second I want to know yes please please please note this down note these things also down Like just now you realize that the reciprocal of tan theta is called cotan theta reciprocal of sine theta is called cosec theta the reciprocal of cosine theta is called sec theta this will also be of huge utility in the camon should be Sir I really want to know how you got all that but I think it will become centum 1.5 over then No beta which which which all that these these other values how do you get them if you remember beta from our class discussions because I am like finding it a known voice okay yeah if it is an equilateral triangle a a and full a if you will drop a perpendicular right then this will become a by 2 and this will also become a by 2 yes or no yes sir for everyone I will say if this would have been an equilateral triangle this was 60 if you will divide it this will become 30 yes or no and this is for where you are this is a 90 looking from here for soka to a okay we have sine of 60 degree is equal to yellow dot yes or no yes now what is yellow dot by uncle Pythagoras a square is equal to a by 2 square plus yellow dot yes or no yes sir so the yellow square is root 3 by 2 a can you see that this is root 3 by 2 a if you will put it over here you will get root 3 by 2 a already there is an a dot cancel sine 60 is root 3 by 2 yes or no yes sir looking from here sine 30 will be equal to opposite by hypotenuse cancelled 1 by 2 got it okay looking from here sine 90 is opposite by hypotenuse now what is opposite to 90 degree is hypotenuse cancelled sine 90 is 1 got it all those can be proved okay okay sir got it yes dear sir can you go back to the previous page where you wrote the formula like cos sector that will take a lot because I might have erased them all you can take a screenshot I didn't so I need to go back to the page I have that screenshot I can send it later to Tanya no problem relax I have it too I can put it on lockstrap just read these here yes got it got it got it can we proceed next question relax huh readable so now Monisha will be leading the scenarios I guess if no one else is jumping up yes Anirvath is the fastest one very good Anirvath Nambia done let's move on to the next question read the definitions read the definitions read the definitions it's an easy one provided you read the definitions carefully what happens Ucheer you can't believe on your eyes Anirvath 33 people but 17, 12 and 14 please look you know this it is given that this is equal to this it implies that this is equal to this this is equal to this is only possible when scientific is equal to cost theta and by our very recent chart 45 degrees the answer yes good next question see the readable I'll try to just get this error corrected in me right I suddenly like okay okay no problem let us see what is stated is a second theta is 1 by cost theta and cosecant theta is 1 by sin theta now if they have to be equal then theta is equal to now you know if they have to be equal these have to be equal yes or no and they are equal only when theta is equal to 45 degree you remember both equal to 1 by root 2 in that case yes or no okay your brains are very much old for anything guys don't be now paint one wall of my house with this sin theta cost theta on it sir that's the better state your experience in two words please quickly so that we can move on to the next question quickly no one is typing good good good no problem good was good so you should read some of the smaller ones they are very funny according to science fun and informative are the very safe ones so that's why everybody likes that so next question target score in physics come on out of 100 100 marks 100 marks physics 100 chemistry 100 mark good good good 40 to 70 good good are there people still calculating no I guess we should proceed okay here comes our last question for you guys given that cost theta is 3 by 5 then tan theta and sex square theta then square theta minus sex square theta is equal to relax guys relax relax last question right somewhere in discussions I was aware that's why I kept only 12 questions very good Raghav see mix response look here so what is the answer I'll show now relax cost theta is equal to 3 by 5 this implies that if theta is here 3 is here and 5 is here yes or no for very obvious reason 4 will come here yes or no tan theta will be equal to 4 by 3 and it's square minus secant theta is a we just now studied okay so will be 5 by 3 and square clear so will be equal to 16 minus 25 by 9 minus 9 by 9 equal to minus 1 okay just for knowledge there are 3 identities in 10th grade in 10th grade not not required here in 10th grade which are sin square theta plus cos square theta is equal to 1 1 plus tan square theta is equal to secant square theta and 1 plus cot square theta is equal to cosecant square theta okay but surely and thoroughly not at all required in 9th grade I am telling you I am promising but just for the knowledge requirement part of it I am telling okay so required for understanding because they are not required for vector understanding for the vector understanding what you require is what you guys know or what is at least has been dispatched yes guys please someone was speaking so how do you calculate sec secant is Ulta of course so our kaha is there secant is HA okay so good should not be repeated whatever and whoever has done that excuse me sir can you can you re-explain meaning of cos tan and I mean cos tan and tan and all with means to adjacent and hypotenuse and all yes yes yes Peter see simple so kaha and to sin is opposite by hypotenuse okay cos is adjacent by hypotenuse for theta this is opposite this is adjacent and the largest size is by default hypotenuse opposite adjacent opposite adjacent so sin is opposite by hypotenuse cos is adjacent by hypotenuse and tan is opposite by adjacent okay so they have their respective reciprocal the reciprocal of sin is called cosic the reciprocal of cos is called secant the reciprocal of tan is called cos you can use these as a cheating for your chemical if at all required okay so vectors is there in NCIT vectors for ninth NCIT is not there beta but as we will be proceeding toward projectile we will need it that is why it is not to you okay okay so tomorrow I am also publishing kind of single pager for whatever is required as a quick revision for motion as well as vectors okay tomorrow I will release it okay guys so can it not be a one pager and be a bigger pager okay it can be a bigger pager as well but one pager will surely be enough I know okay sure so 23 people got it right let's see who is winning the scenario and show and I guess this girl Monisha is going to win it congratulations Monisha congratulations congratulations good very good very good very good thank you very much guys thanks a lot bye bye thank you sir bye good night good night good night good night thank you sir thank you Achay bye Bye! Bye bye dear! Bye! Thank you dear. Thanks a lot. Bye.