CUET Mathematics - If |a - r| = |a| = |r| = 1, then angle between a and r is | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 2

Algebra

Medium

core

$\frac{\pi}{3}$

$\frac{3\pi}{4}$

$\frac{\pi}{2}$

$\frac{\pi}{6}$

✅ Correct Option: 1

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The angle between two lines whose direction ratios are propotional to $1,1,-2$ and $(\sqrt{3}-1),(-\sqrt{3}-1),-4$ is :

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The projection of the vector $5\hat{i} + \hat{j} - 3\hat{k}$ on the vector $\hat{i} + 2\hat{j} - 3\hat{k}$ is

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If $\hat{i}$ , $\hat{j}$ and $\hat{k}$ are unit vectors along the co-ordinate axes OX, OY and OZ respectively, then

(A) $\hat{i} \times \hat{j} = \hat{k}$

(B) $\hat{k} \times \hat{i} = -\hat{j}$

(D) $\hat{j} \cdot \hat{k} = 0$

Choose the correct answer from the options given below:

CUET Mathematics 2025 30 May Shift 2 PYQs