Vectors Question 151

Question: Let $ \overrightarrow{A}=\hat{i}A,\cos \theta +\hat{j}A,\sin \theta $ be any vector. Another vector $ \overrightarrow{B} $ which is normal to A is

[BHU 1997]

Options:

A) $ \hat{i},B,\cos \theta +j,B\sin \theta $

B) $ \hat{i},B,\sin \theta +j,B\cos \theta $

C) $ \hat{i},B,\sin \theta -j,B\cos \theta $

D) $ \hat{i},B,\cos \theta -j,B\sin \theta $

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Answer:

Correct Answer: C

Solution:

Dot product of two perpendicular vector will be zero.