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

User Aleah
by
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2 Answers

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Answer:

use the pythagorean theorem

User Uchar
by
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1 vote

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.


User Sanjay Khatri
by
8.0k points

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