Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

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

Options:

1

0

3

-3

Correct Answer:

3

Explanation:

$\hat{i} . (\hat{j} \times \hat{k})+\hat{j} . (\hat{k} \times \hat{i})+\hat{k} . (\hat{i} \times \hat{j})$

$=\hat{i} . (\hat{i})+\hat{j} . (\hat{j})+\hat{k} .(\hat{k})$

= 1 + 1 + 1 = 3 

Option: C