Target Exam

CUET

Subject

Section B1

Chapter

Vectors

Question:

The value of $\lambda$ for which two vectors $2\hat{i}-\hat{j}+2\hat{k}$ and $3\hat{i}+\lambda\hat{j}+\hat{k}$ are perpendicular is

Options:

2

4

6

8

Correct Answer:

8

Explanation:

The correct answer is Option (4) → 8 ##

Dot product of two mutually perpendicular vectors is zero.

$\Rightarrow 2 \times 3 + (-1)\lambda + 2 \times 1 = 0$

$\Rightarrow \lambda = 8$