Question

$i.(j\times k)+j.(i\times k)+k.(i\times j)$ is equal to

• A. $3$
• B. $0$
• C. $-3$
• D. $1$

Answer 1

The correct option is D $1$

$\hat{i}.(\hat{j}\times \hat{k})+\hat{j}.(\hat{i}\times \hat{k})+\hat{k}.(\hat{i}\times \hat{j})=\hat{i}.\hat{i}+\hat{j}.(-\hat{j})+\hat{k}.\hat{k}$
$=1-1+1$
$=1$
Option D is correct.