Vector Algebra Question 357

Question: If a and b are unit vectors and $ \mathbf{a}-\mathbf{b} $ is also a unit vector, then the angle between a and b is

[RPET 1991; MP PET 1995; Pb. CET 2001]

Options:

A) $ \frac{\pi }{4} $

B) $ \frac{\pi }{3} $

C) $ \frac{\pi }{2} $

D) $ \frac{2\pi }{3} $

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Answer:

Correct Answer: B

Solution:

  • $ {{(\mathbf{a}-q\mathbf{b})}^{2}}=1=2-2\cos \Rightarrow ,\theta =60{}^\circ . $