Vectors Question 11

Question: The magnitude of vector $ \overrightarrow{A},,\overrightarrow{B} $ and $ \overrightarrow{C} $ are respectively 12, 5 and 13 units and $ \overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C} $ then the angle between $ \overrightarrow{A} $ and $ \overrightarrow{B} $ is

[CPMT 1997]

Options:

A) 0

B) $ \pi $

C) $ \pi /2 $

D) $ \pi /4 $

Show Answer

Answer:

Correct Answer: C

Solution:

$ C=\sqrt{A^{2}+B^{2}} $ The angle between A and B is $ \frac{\pi }{2} $