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}|. $