Match List - I with List - II. | List - I | List - II | |---|---| | (A) The value of $\hat{i}\cdot(\hat{j}\times\hat{k}) + \hat{j}\cdot(\hat{i}\times\hat{k}) + \hat{k}\cdot(\hat{i}\times\hat{j})$ | (I) 16 | | (B) If $\lvert\vec{a}\rvert=10$, $\lvert\vec{b}\rvert=2$ and $\vec{a}\cdot\vec{b}=12$, then the value of $\lvert\vec{a}\times\vec{b}\rvert$ is | (II) $\frac{\pi}{4}$ | | (C) If $\theta$ is the angle between two vectors $\vec{a}$ and $\vec{b}$, then the value of $\theta$, for which $\vec{a}\cdot\vec{b} = \lvert\vec{a}\times\vec{b}\rvert$ is | (III) 14 | | (D) If $\vec{a}$ and $\vec{b}$ are perpendicular and $\vec{a} = 2\hat{i}+4\hat{j}+\lambda\hat{k}$ and $\vec{b} = 3\hat{i}-5\hat{j}+\hat{k}$, then the value of $\lambda$ is | (IV) 1 | Choose the correct answer from the options given below :

Correct Answer: A. (A) - (IV), (B) - (I), (C) - (II), (D) - (III)

Match List - I with List - II. | List - I | List - II | |---|---| | (A) The… - CUET UG 2022 Mathematics PYQ

CUET UG 2022 — Mathematics Algebra

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Match List - I with List - II.

List - I	List - II
(A) The value of $\hat{i}\cdot(\hat{j}\times\hat{k}) + \hat{j}\cdot(\hat{i}\times\hat{k}) + \hat{k}\cdot(\hat{i}\times\hat{j})$	(I) 16
(B) If $\lvert\vec{a}\rvert=10$ , $\lvert\vec{b}\rvert=2$ and $\vec{a}\cdot\vec{b}=12$ , then the value of $\lvert\vec{a}\times\vec{b}\rvert$ is	(II) $\frac{\pi}{4}$
(C) If $\theta$ is the angle between two vectors $\vec{a}$ and $\vec{b}$ , then the value of $\theta$ , for which $\vec{a}\cdot\vec{b} = \lvert\vec{a}\times\vec{b}\rvert$ is	(III) 14
(D) If $\vec{a}$ and $\vec{b}$ are perpendicular and $\vec{a} = 2\hat{i}+4\hat{j}+\lambda\hat{k}$ and $\vec{b} = 3\hat{i}-5\hat{j}+\hat{k}$ , then the value of $\lambda$ is	(IV) 1
Choose the correct answer from the options given below :

Official previous-year question

Held on 17 Aug 2022 · Verified 13 Jul 2026.

Work through every CUET UG Algebra PYQ, year by year.