CUET Mathematics - Which of the following statements are correct? (A) i x (j x k) = 0. (B) If |axb|=2, a.b=4, then |a|^2|b|^2=6. (C) The number of vectors of unit length perpendicular to a and b are 2. (D) If a and b represent the diagonals of the rhombus, then a.b=0 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 18th May Shift 1

Algebra

Medium

core

(A), (B) and (C) only

(A) and (C) only

(A), (C) and (D) only

(A) and (D) only

✅ Correct Option: 3

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The position vector of a point which divides the line joining the points with position vectors $(\vec{a} - 2\vec{b})$ and $(2\vec{a} + \vec{b})$ externally in the ratio 2:1, is

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Match List I with List II

LIST I	LIST II
A. The area of parallelogram determined by vectors $2\hat{i}$ and $3\hat{j}$	I. 2
B. The value of $(\hat{i} \times \hat{j}) \cdot \hat{k} + (\hat{j} \times \hat{k}) \cdot \hat{i}$	II. 4
C. The value of a for which the vectors $2\hat{i} - 3\hat{j} + 4\hat{k}$ and $a\hat{i} - 6\hat{j} + 8\hat{k}$ are collinear.	III. 0
D. The value of $\lambda$ for which the vectors $2\hat{i} + \hat{j} + \hat{k}$ and $2\hat{i} - 4\hat{j} + \lambda\hat{k}$ are perpendicular	IV. 6

Choose the correct answer from the options given below:

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Let $\vec{a}$ be any vector such that $\vec{a}.\hat{i} = \vec{a}.(\hat{i}+\hat{j}) = \vec{a}.(\hat{i}+\hat{j}+\hat{k}) = 1$ , then $\vec{a}$ is

CUET Mathematics 2026 18th May Shift 1 PYQs

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