 Good morning friends. I am Purva and today we will discuss the following question write two different vectors having same magnitude Let us now begin with the solution let Vector a is equal to i cap plus j cap minus k cap and Vector b is equal to i cap minus j cap plus k cap So these are two different vectors. So now we will show that these two vectors have same magnitude Now we have magnitude of vector a That is more of vector a is equal to under root of 1 square plus 1 square plus minus 1 square and This is equal to under root of 1 plus 1 plus 1 and This is equal to under root 3. So we have got magnitude of vector a is equal to root 3 Now we will find magnitude of vector b. So magnitude of vector b That is more of vector b is equal to under root of 1 square plus minus 1 square plus 1 square and This is equal to under root of 1 plus 1 plus 1 and which is further equal to under root 3 So we have got magnitude of vector b is equal to root 3 So we have got magnitude of vector a is Equal to magnitude of vector b So these are two different vectors having same magnitude Now we will take another example of two different vectors having same magnitude. So again, let Vector a is equal to 2 i cap plus 3 j cap minus k cap and Vector b is equal to i cap plus 2 j cap plus 3 k cap Now we will find magnitude of vector a. So magnitude of vector a That is more of vector a is equal to under root of 2 square plus 3 square plus minus 1 square and This is equal to under root of 2 square is equal to 4 So we have 4 plus 3 square is equal to 9 So 9 plus and minus 1 square is equal to 1 And we get this is equal to under root 14 So we have got more of vector a is equal to root 14 now magnitude of vector b that is more of vector b is equal to under root of 1 square plus 2 square plus 3 square and This is equal to under root of 1 plus 4 plus 9 Because 1 square gives 1 2 square gives 4 and 3 square gives 9 and we get this is equal to Under root 14. So we get more of vector b is equal to root 14 So again, we have seen that magnitude of vector a is equal to magnitude of vector b So similarly like this there are infinite number of solutions That's we write there are an infinite number of Possible answers. Hope you have understood the solution. Bye and take care