If |overrightarrow A × overrightarrow B |, = ,|overrightarrow A ,.,overrightarrow B |, then angle b

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3-1.Vectors

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If $|\overrightarrow A \times \overrightarrow B |\, = \,|\overrightarrow A \,.\,\overrightarrow B |,$ then angle between $\overrightarrow A $ and $\overrightarrow B $ will be ........ $^o$

A

$30$

B

$45$

C

$60$

D

$90$

(AIIMS-2000)

Solution

(b) $|\vec A \times \vec B|\, = \vec A.\vec B$

$⇒$ $AB\sin \theta = AB\cos \theta $

$⇒$ $\tan \theta = 1$

$\theta = 45^\circ $

Standard 11

Physics

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