The value of $\hat{i} . (\hat{j} \times \hat{k})+\hat{j} . (\hat{i} \times \hat{k})+\hat{k} . (\hat{i} \times \hat{j})$ is
Answer & explanation
Correct answer: option 3
Using cycle rule
$\hat{i} . (\hat{j} \times \hat{k})+\hat{j} . (\hat{i} \times \hat{k})+\hat{k} . (\hat{i} \times \hat{j})$
$= \hat{i} . \hat{i}+\hat{j} . (-\hat{j})+\hat{k} . (\hat{k})$
= 1 - 1 + 1
= 1