Question

If two vectors are perpendicular to each other, how should you add them?

Answer 1

Let us consider two vectors A and B.

As per the question, the two vectors are perpendicular to each other.

Hence the angle between them  $\theta =90 degree$

We are asked to calculate the resultant of these two vectors.

As per parallelogram law of vector addition, the resultant of two vectors are-

                      $R=\sqrt{A^{2}+ B^{2}+2ABcos\theta$

                                $=\sqrt{ A^{2}+ B^{2}+2AB*cos90}$    [cos90=0]

                                $=\sqrt{ A^{2}+ B^{2}$

This is the way by which we can add two perpendicular vectors.

Answer 2

Answer:

use the pythagorean theorem