Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

The magnitude of the vector \(\vec{a}\) = \(\hat{i}\) +2\(\hat{j}\)+3\(\hat{k}\)

 

 

Options:

√13

√14

√18

√16

Correct Answer:

√14

Explanation:

We have \(\vec{a}\) = \(\hat{i}\) +2\(\hat{j}\)+3\(\hat{k}\)

|\(\vec{a}\)| = √(1)2 + (2)2+ (3)2

|\(\vec{a}\)| = √1+4+9

|\(\vec{a}\)| = √14