Motion In A Plane Ques 59
59. $\vec{A}$ and $\vec{B}$ are two vectors and $\theta$ is the angle between them, if $|\vec{A} \times \vec{B}|=\sqrt{3}(\vec{A} \cdot \vec{B})$, the value of $\theta$ is
[2007]
(a) $45^{\circ}$
(b) $30^{\circ}$
(c) $90^{\circ}$
(d) $60^{\circ}$
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Answer:
Correct Answer: 59.(d)
Solution:
- (d) $|\vec{A} \times \vec{B}|=\sqrt{3}(\vec{A} \cdot \vec{B})$
$\Rightarrow A B \sin \theta=\sqrt{3} A B \cos \theta$
$\Rightarrow \tan \theta=\sqrt{3} \Rightarrow \theta=60^{\circ}$
BETA
