Question

Prove that vectors $2\hat{i}-3\hat{j}+5\hat{k}$ and $-2\hat{i}+2\hat{j}+2\hat{k}$ are mutually perpendicular.

Answer 1

Given: Vectors are $2\hat{i}-3\hat{j}+5\hat{k}$ and $-2\hat{i}+2\hat{j}+2\hat{k}$
$\therefore$ Product of scalar $=(2\hat{i}-3\hat{j}+5\hat{k}).(-2\hat{i}+2\hat{j}+2\hat{k})$
$=-4-6+10$
$=0$
So given vectors are mutually perpendicular.