Question

If vector A and vector B are two vectors such that their resultant is perpendicular to vector A and in magnitude equal to A. Then the magnitude of vector B will be​

Answer 1

the magnitude of vector B is equal to that of vector A

vector B is also in the opposite direction to that of A

i.e.

A=-B

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Answer 2

Answer:

(A+B).A=0 (Since they are perpendicular)

IAI^2 + B.A=0

B.A= -IAI^2

IA+BI= IAI

IAI^2+IBI^2+2A.B=IAI^2

IAI^2+IBI^2- 2IAI^2= IAI^2

IBI^2= 2IAI^2

IBI= Sqrt 2IAI