Vector Algebra Question 115

Question: If $ \mathbf{a}+\mathbf{b} $ bisects the angle between a and b, then a and b are

Options:

A) Mutually perpendicular

B) Unlike vectors

C) Equal in magnitude

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Equal in magnitude, as bisector $ =\frac{\mathbf{\hat{a}}+\mathbf{\hat{b}}}{\sqrt{2}} $ if $ |\mathbf{a}|=|\mathbf{b}|. $