Question

When two vectors are perpendicular their dot product is

Answer 1

Step 1. Given data:

Assume two vectors $AandB$.

Step 2. Formula used:

$A.B=\left|A\right|\left|B\right|\cos \theta$

Step 3. Applying the concept:

When two vectors are perpendicular, it means that the angle will be ${90}^{\circ }$

The dot product of two vectors is given by,

$$\begin{gathered} A.B=\left|A\right|\left|B\right|\cos 90 \\ A.B=\left|A\right|\left|B\right|\left(0\right) \\ A.B=0 \end{gathered}$$

Thus, the dot product of two vectors when they are perpendicular is zero.