Question

What is the angle between `vec(A)` and the esultant of `(vec(A) + vec(B))` and `(vec(A) - vec(B))`
A. Zero
B. `tan^(-1) (A//B)`
C. `tan^(-1) (B//A)`
D. `tan^(-1) ((A - B))/((A + B))`

Answer 1

Correct Answer - A
Resultant of `(vec(A) + vec(B))` and `(vec(A) - vec(B))`
`vec(R ) = (vec(A) + vec(B)) + (vec(A) - vec(B)) = 2 vec(A)`
Angle between `vec(A)` and `vec(R )` is zero.