 Well, howdy welcome to physics farm. You're just in time. The fall crop of vectors are just about to sprout You can help me add them together. Of course round here We only add vectors with a ruler and a protractor none of that big city calculator stuff You okay with that? Well, all right then wait. I hear one now Look out. There's one a nice blue vector Watch now. There's a red one. Oh They're cool in here. They'll add together real well. Oh Jeepers that their vectors grown in at an angle Guess we'll have to add it together to the other one with a ruler and a protractor a yippie Let's add two non-right angle vectors using a ruler and a protractor We're gonna add 3.5 centimeters east and 5 centimeters at 3 degrees Now we're gonna do this by drawing an XY axis and then we're gonna use our ruler to measure out exactly 3.5 centimeters going exactly horizontally east Next we're gonna put another XY axis at the tip of this arrow because I want to make my two vectors tip to tail That's a key for adding these together So I'm gonna grab my protractor. I'm gonna measure out a 30 degree angle Be real careful about this that I'm gonna use my ruler to measure out exactly five centimeters Now that's the hard part done our two vectors are tip to tail now I'm gonna put in the resultant the resultant is always tip to tip and tail to tail with the two vectors you start off with Just draw that vector in then you can use your ruler to measure how long it is and You can use your protractor to measure what the angle is and you'll notice as always We're looking for the angle between the two tails So for this pair of vectors the resultant is about 8.2 centimeters at 18 degrees in the RCS system Let's try another one here We're gonna add together 60 meters per second at 40 degrees west of north and 30 meters per second directly south Now the first thing I notice about these two is they're not measured in centimeters They're in meters per second which is different and even if they were in centimeters I couldn't fit 60 centimeters and 30 centimeters onto my paper. So I'm gonna need to use a scale factor I'm gonna pick a number which can divide easily into both of our values in this case I think I could divide by 15. This is gonna give me numbers that I can actually measure out easily on my piece of paper So for the first vector, I'm gonna measure out four centimeters and for the second one two centimeters Let's start off that first vector. I'm gonna measure out 4.0 centimeters 40 degrees west of north So I'll make an XY axis and I'll put the west and the north on it then starting from the north I'm gonna measure out 10 20 30 40 degrees to the west Then I'll use my ruler to measure out exactly 4 centimeters Next I'm gonna go in and draw my second vector. Remember my vectors have to be tip to tail So I'm gonna put the 2.0 centimeter south vector tip to tail right next to my first purple vector Now my resultant is always going to be tail to tail and tip to tip with the two original vectors that I put down So I'm going to use my ruler to carefully draw it online between the tail to tail and tip to tip space That's gonna be 2.8 centimeters And I'm gonna use my protractor to measure what the angle is between in this case north and the vector Here the angle will be 67 degrees west of north Now remember initially we applied that scale factor so to get a final answer, which is in the correct scale I have to take the resultant magnitude and just multiply it by whatever scale factor I chose So I have to take that 2.8 centimeters multiply it by 15 to give me a final magnitude of 42 meters per second Nothing changes in the angle though. We don't apply the scale factor there Well, that was fun. Now you're an expert at adding vectors with a ruler and a protractor Of course, if you are one of them button pushers who prefers doing it on a calculator Check out this other video on add and non-right angle vectors using vector components. I'll see you later