Target Exam

CUET

Subject

Section B1

Chapter

Vectors

Question:

The magnitude of the vector $6\hat{i} - 2\hat{j} + 3\hat{k}$ is

Options:

1

5

7

12

Correct Answer:

7

Explanation:

The correct answer is Option (3) → 7 ##

Let $\vec{a} = 6\hat{i} - 2\hat{j} + 3\hat{k}$

$∴\text{Magnitude of } \vec{a} = |\vec{a}| = |6\hat{i} - 2\hat{j} + 3\hat{k}|$

$= \sqrt{6^2 + 2^2 + 3^2} = 7 \text{ units}$