Vector Algebra Question 359
Question: If q be the angle between two vectors a and b, then $ \mathbf{a}.\mathbf{b} $ $ \ge 0 $ if
[MP PET 1995]
Options:
A) $ 0\le \theta \le \pi $
B) $ \frac{\pi }{2}\le \theta \le \pi $
C) $ 0\le \theta \le \frac{\pi }{2} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
- As we know $ \mathbf{a},.,\mathbf{b}=ab\cos \theta $ Obviously, $ \cos \theta ,\ge 0 $ for $ 0\le ,\theta \le \frac{\pi }{2} $ and $ \frac{3\pi }{2}\le ,\theta ,\le 2\pi . $