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} $
Show Answer
Answer:
Correct Answer: B
Solution:
- $ {{(\mathbf{a}-q\mathbf{b})}^{2}}=1=2-2\cos \Rightarrow ,\theta =60{}^\circ . $