Kinematics Question 258

Question: If $ \overset{\to }{\mathop{A}}\times \overset{\to }{\mathop{B}}=\overset{\to }{\mathop{B}}\times \overset{\to }{\mathop{A}} $ then the angle between A and b is [AIEEE 2004]

Options:

A) p / 2 $

$

B) p / 3

C) p

D) p / 4

Show Answer

Answer:

Correct Answer: C

Solution:

We know that $ \overrightarrow{A}\times \overrightarrow{B}=-(\overrightarrow{B}\times \overrightarrow{A}) $

because the angle between these two is always 90°.

But if the angle between $ \overrightarrow{A} $

and $ \overrightarrow{B} $ is 0 or p .

Then $ \overrightarrow{A}\times \overrightarrow{B}=\overrightarrow{B}\times \overrightarrow{A}=0 $ .



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