If |a| = 8, |b| = 3 and |a x b| = 12, then the value of a * b is Option 1: 2sqrt(3) Option 2: 12sqrt(3) Option 3: 8sqrt(3) Option 4: 6sqrt(3)

The answer is '12sqrt(3)'. View full solution:

CUET Mathematics - If |a| = 8, |b| = 3 and |a x b| = 12, then the value of a * b is | PYQs + Solutions

CUET Mathematics 2022 10 Aug Shift 1

Algebra

Easy

$2\sqrt{3}$

$12\sqrt{3}$

$8\sqrt{3}$

$6\sqrt{3}$

✅ Correct Option: 2

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If $|\vec{a}| = 3|\vec{b}|$ , $|\vec{b}| = 2$ and angle between $\vec{a}$ and $\vec{b}$ is $60^\circ$ , then $|\vec{a} - \vec{b}|$ is equal to:

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Match List-I with List-II

List-I	List-II
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(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:

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The projection of the vector $5\hat{i} + \hat{j} - 3\hat{k}$ on the vector $\hat{i} + 2\hat{j} - 3\hat{k}$ is