Kinematics Question 256

Question: If for two vector A and B , sum (A+B) is perpendicular to the difference (AB) . The ratio of their magnitude it’s

Options:

A) 1

B) 2

C) 3

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

(A+B) is perpendicular to (AB) . Thus

(A+B) . (AB) = 0

or A2+B.AA.BB2=0

Because of commutative property of dot product A.B=B.A
A2B2=0 or A=B

Thus the ratio of magnitudes A/B = 1



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