Question

Dot product of two mutual perpendicular vector is

• A. $0$
• B. $1$
• C. $\infty$
• D. None of these.

Answer 1

The correct option is A

$0$

Explanation for correct option:

Simplify the statement given into mathematical expression using vector formulas.

Let, two vectors are $\overrightarrow{a}$ and $\overrightarrow{b}$ and the angle between them is $90°$.

Therefore,

$$\begin{gathered} \overrightarrow{a}.\overrightarrow{b}=\left|a\right|\left|b\right|\cos \left(\theta \right) \\ =\left|a\right|\left|b\right|\cos \left(90°\right) \\ =0 \end{gathered}$$

Therefore, the dot product of two mutual perpendicular vectors is $0$.