CUET Mathematics - A vector a of magnitude 3sqrt(2) making an angle of /4 with i, /4 with j and an actue angle with k, is | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Algebra

Medium

core

$3\sqrt{2}(\frac{1}{\sqrt{2}}\hat{i} + \frac{1}{\sqrt{2}}\hat{j} + \frac{1}{2}\hat{k})$

$3\sqrt{2}(\frac{1}{2}\hat{i} + \frac{1}{\sqrt{2}}\hat{j} + \frac{1}{2}\hat{k})$

$3\sqrt{2}(\frac{1}{\sqrt{2}}\hat{i} + \frac{1}{2}\hat{j} + \frac{1}{2}\hat{k})$

$3\sqrt{2}(\frac{1}{2}\hat{i} + \frac{1}{2}\hat{j} + \frac{1}{2}\hat{k})$

✅ Correct Option: 2

Related questions:

21 May Shift 1

If $\vec{a}, \vec{b}, \vec{c}$ are vectors such that $\vec{a} + \vec{b} + \vec{c} = \vec{0}$ and $|\vec{a}| = 1, |\vec{b}| = 2, |\vec{c}| = 5$ , then the expression $\vec{a}\cdot\vec{b} + \vec{b}\cdot\vec{c} + \vec{c}\cdot\vec{a}$ equals

22 May Shift 2

let $\vec{a}$ be a non-zero vector of magnitude ' $a$ ' and $\lambda$ is a non-zero scalar, then $\lambda\vec{a}$ is a unit vector if

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 3 June Shift 1 PYQs

Keyboard Shortcuts