Question

When two vectors are perpendicular their cross product is zero?

Answer 1

Step 1. Given data:

Let two vectors are $AandB$

Step 2. Formula Used:

The cross product of two vectors is given by,

$AxB=\left|A\right|\left|B\right|\sin \theta$

Step 3. Applying the concept:

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

And the value of $\sin {90}^{\circ }$ is $1$

Therefore, $AxB=\left|A\right|\left|B\right|$

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.