Vector Algebra Question 340

Question: If $ |a|,=,|\mathbf{b}|, $ then $ (a+b),.,(a-b) $ is

[MP PET 2002]

Options:

A) Positive

B) Negative

C) Zero

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ (a+b),.,(a-b)=a.a+b.a-b.a-b.b $ $ =a.a-b.b=,|a{{|}^{2}}-|b{{|}^{2}} $ $ =0 $ , $ (\because ,|\mathbf{a}|,=,|\mathbf{b}|) $ .