CUET Mathematics - The direction cosines of the line which is perpendicular to the lines with direction ratios 1,-2,-2 and 0,2,1 are : | PYQs + Solutions

CUET Mathematics

Algebra

Easy

core

$\frac{2}{3},-\frac{1}{3}, \frac{2}{3}$

$-\frac{2}{3},-\frac{1}{3}, \frac{2}{3}$

$\frac{2}{3},-\frac{1}{3},-\frac{2}{3}$

$\frac{2}{3}, \frac{1}{3}, \frac{2}{3}$

✅ Correct Option: 1

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If $\vec{a} \cdot \vec{b} = \vec{a} \cdot \vec{c}$ , $\vec{a} \times \vec{b} = \vec{a} \times \vec{c}$ and $\vec{a} \neq {0}$ , then the vector $\vec{b}$ in equal to.

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A vector of magnitude 8 units in the direction perpendicular to both the vectors $\hat{i} + \hat{j} + \hat{k}$ and $2\hat{i} + \hat{k}$ is

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Match List-I with List-II

List-I	List-II
(A) Angle between $\hat{i} - \hat{j}$ and $\hat{i} + \hat{j}$	(I) $\pi$
(B) Angle between $\hat{i} - \hat{j} + \hat{k}$ and $-\hat{i} + \hat{j} - \hat{k}$	(II) $\frac{3\pi}{4}$
(C) Angle between $\hat{i} + \hat{j}$ and $-\hat{i}$	(III) $\frac{\pi}{4}$
(D) Angle between $\hat{i} + \hat{k}$ and $\hat{k}$	(IV) $\frac{\pi}{2}$

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