alleryQuestion 6: If the scalar and vector products of two vectors A and B are equal in magnitude, then the angle between the two vectors is
A$45^\circ$
B$90^\circ$
C$180^\circ$
D$360^\circ$
Answer & Solution
Correct answer: A. $45^\circ$
Given A.B = A×B
$$
\Rightarrow \text{AB cos } \theta = \text{AB sin } \theta
$$
$$
\Rightarrow \tan \theta = 1
$$
$$
\Rightarrow \theta = 45^\circ
$$
Hence option a is the answer.
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