CUET Mathematics - Let a = 3i + j - 4k and b = 6i + 5j - 2k be two vectors. Then a vector perpendicular to a and b with magnitude 3 units is | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Algebra

Medium

core

$3\hat{i} + 2\hat{j} - \hat{k}$

$2\hat{i} - 2\hat{j} + \hat{k}$

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

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

✅ Correct Option: 2

Related questions:

22 May Shift 2

If $\vec{a} = 2\hat{i} + m\hat{j} - n\hat{k}$ and $\vec{b} = \hat{i} - 3\hat{j} + 4\hat{k}$ such that $\vec{a} = 2\vec{b}$ then the value of $14\hat{i} + m + n$ is:

19 May Shift 1

If $|\vec{a}| = 1$ , $|\vec{b}| = 2$ , $|2\vec{a}+\vec{b}| = 2\sqrt{3}$ then $|\vec{a}-\vec{b}|$ is:

26 May Shift 2

If $|\vec{a}| = a$ , then the value of $|\vec{a} \times \hat{i}|^2 + |\vec{a} \times \hat{j}|^2 + |\vec{a} \times \hat{k}|^2$ is

CUET Mathematics 2025 3 June Shift 1 PYQs

Keyboard Shortcuts