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Question: The magnitude of vector \(\overset{\rightarrow}{A},\overset{\rightarrow}{B}\) and \(\overset{\righta...

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

A

0

B

π\pi

C

π/2\pi/2

D

π/4\pi/4

Answer

π/2\pi/2

Explanation

Solution

C=A2+B2C = \sqrt{A^{2} + B^{2}}

The angle between A and B is π2\frac{\pi}{2}