CUET Mathematics - Let a = i + j and p = i + j + 3k then a unit vector perpendicular to both vectors (a + b) and (a - b) is equal to | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 1

Algebra

Medium

core

$\frac{1}{\sqrt{6}}(-\hat{i} + 2\hat{j} - \hat{k})$

$\frac{1}{\sqrt{6}}(\hat{i} - 2\hat{j} - \hat{k})$

$\frac{1}{\sqrt{3}}(\hat{i} + \hat{j} + \hat{k})$

$\frac{1}{\sqrt{6}}(\hat{i} + 2\hat{j} + \hat{k})$

✅ Correct Option: 1

Related questions:

21 May Shift 1

Let $|\vec{a}| = 5, |\vec{b}| = 2$ and $\vec{a}\cdot\vec{b} = 6$ , then the value of $|\vec{a} \times \vec{b}|$ is equal to

14 May Shift 2

Let $\vec{a} = \hat{i} + \hat{j}$ , $\vec{b} = \hat{i} - \hat{j}$ and $\vec{c} = \hat{i} + \hat{j} + \hat{k}$ . If $\vec{m}$ is a unit vector perpendicular to both the vectors $\vec{b}$ and $\vec{c}$ , then $|\vec{a}.\vec{m}|$ is equal to

30 May Shift 2

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

CUET Mathematics 2025 22 May Shift 1 PYQs

Keyboard Shortcuts