A) \[30{}^\circ \]
B) \[45{}^\circ \]
C) \[60{}^\circ \]
D) \[90{}^\circ \]
Correct Answer: B
Solution :
[b] \[\left| \overrightarrow{A}\times \overrightarrow{B} \right|=\overrightarrow{A}.\overrightarrow{B}\] |
\[\Rightarrow \] \[\,AB\sin \theta \,=\text{ }AB\text{ }\cos \theta \] |
\[\Rightarrow \] \[\tan \,\theta =1\] |
\[\therefore \] \[\theta \text{ }=\text{ }{{45}^{o}}\] |
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