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Question

When two vectors are perpendicular their cross product is zero?


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Solution

Step 1. Given data:

Let two vectors are AandB

Step 2. Formula Used:

The cross product of two vectors is given by,

AxB=|A||B|sinθ

Step 3. Applying the concept:

It is given that the two vectors are perpendicular to each other then θ=90°

And the value of sin90 is 1

Therefore, AxB=|A||B|

Hence, When two vectors are perpendicular their cross product is not zero.

It will be zero only when the magnitude of either of the vector is zero.


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