CUET Mathematics - If a = 3i - 6j + k and b = 2i - 4j + 2k are such that a b, then 3 + 2 = | PYQs + Solutions

13 May Shift 1

Match List-I with List-II

List-I	List-II
(A) Angle between $\vec{i} - \vec{j}$ and $\vec{j} + \vec{k}$	(I) 0
(B) Angle between $2\vec{j} - \vec{k}$ and $\vec{j} + 2\vec{k}$	(II) $\frac{2\pi}{3}$
(C) Angle between $\vec{i} + 2\vec{j}$ and $5\vec{i} + 10\vec{j}$	(III) $\frac{\pi}{6}$
(D) Angle between $\sqrt{3}\vec{i} + \vec{j}$ and $\vec{i}$	(IV) $\frac{\pi}{2}$

Choose the correct answer from the options given below:

2 June Shift 1

Which of the following statements are true?

(A) If $\vec{r} = x\vec{i} + y\vec{j} + z\vec{k}$ , then $x, y, z$ are called direction ratios of $\vec{r}$ .

(B) For any two vectors $\vec{a}$ and $\vec{b}$ , $\vec{a} + \vec{b} = \vec{b} + \vec{a}$

(C) $\vec{a} \perp \vec{b}$ if and only if $\vec{a} \times \vec{b} = \vec{0}$

(D) Projection of $\vec{b}$ on $\vec{a}$ is $\frac{\vec{a} \cdot \vec{b}}{|\vec{a}|^2}$

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13 May Shift 1

If $\vec{a}, \vec{b}, \vec{c}$ are three mutually perpendicular unit vectors, then $|\vec{a} + \vec{b} + \vec{c}|$ is equal to

CUET Mathematics 2025 19 May Shift 1 PYQs