Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

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

Options:

0

-1

1

3

Correct Answer:

1

Explanation:

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