CUET Mathematics - If a, b and c are three unit vectors such that a + 2b - 3c = 0, then the value of 2a.b - 6b.c - 3c.a is | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 2

Algebra

Medium

core

-7

-14

✅ Correct Option: 1

Related questions:

CUET Mathematics 2024 Slot 1

Which of the following cannot be the direction ratios of the straight line $\frac{x-3}{2}=\frac{2-y}{3}=\frac{z+4}{-1}$ ?

30 May Shift 1

Let $\vec{a} = 2\hat{i} - \hat{j} \hat{k} - 4\hat{j} + k\,\text{and}\,\vec{b} = \hat{i} + 2\hat{k}$ . If $\vec{\alpha}$ is a vector perpendicular to both $\vec{a}$ and $\vec{b}$ such that $\vec{c} \cdot \vec{a} = 14$ , then $|\vec{\alpha}|$ is equal to

16 May Shift 1

Match List-I with List-II

List-I	List-II
(A) Angle between i and -j is	(I) $\frac{\pi}{6}$
(B) Angle between 2i + k̂ and 10î + 5k̂ is	(II) $\frac{\pi}{4}$
(C) Angle between î and î + ĵ is	(III) 2π
(D) Angle between √3ĵ - k̂ and ĵ is	(IV) $\frac{\pi}{2}$

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CUET Mathematics 2025 15 May Shift 2 PYQs

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