Vectors `vecA and vecB` are mutually perpendicular . Component of `vecA + vecB` in the direction of `vecA- vecB` will be:

Options

A. `(A^(2) + B^(2))/(sqrt(A^(2)-B^(2)))`
B. `sqrt(A^(2)-B^(2))`
C. `(A + B)/(A- B)`
D. `(A^(2)- B^(2))/(sqrt(A^(2) +B^(2)))`

Answer

D

Explanation

Component = `((vecA + vecB).(vecA - vecB))/(sqrt(A^(2)+B^(2)))`