Vector Algebra Question 365

Question: If the angle between two vectors $ \mathbf{i}+\mathbf{k} $ and $ \mathbf{i}-\mathbf{j}+a\mathbf{k} $ is $ \pi /3, $ then the value of $ a= $

[MP PET 1997]

Options:

A) 2

B) 4

C) ? 2

D) 0

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ \cos \frac{\pi }{3}=\frac{1+a}{\sqrt{2}\sqrt{2+a^{2}}}\Rightarrow a=0 $ .