Physics Two Dimensional Motion Question 120

Question: If the magnitudes of vectors A, B and C are 12, 5 and 13 units respectively and A + B = C, the angle between vectors A and B is:

Options:

A) 0 B)$ \pi $ C) $ \frac{\pi }{2} $ D)$ \frac{\pi }{4} $

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Answer:

Correct Answer: C

Solution:

[c] $ 13^{2}=12^{2}+5^{2}+2\times 12\times 5\cos \theta $

$ \

Therefore \theta =90{}^\circ $