Vectors Question 156

Question: If $ |\overrightarrow{A}\times \overrightarrow{B}|,=,|\overrightarrow{A},.,\overrightarrow{B}|, $ then angle between $ \overrightarrow{A} $ and $ \overrightarrow{B} $ will be

[AIIMS 2000; Manipal 2000]

Options:

A) $ 4\times 3 $

B) $ 5\times 6 $

C) $ 6\times 3 $

D) $ 4\times 6 $

Show Answer

Answer:

Correct Answer: A

Solution:

$ W=\vec{F}\ \vec{S} $

$ =(4\hat{i}+5\hat{j})(3\hat{i}+6\hat{j})=12 $