Two vectors `vecA` and `vecB` are such that `vecA+vecB=vecC` and `A^(2)+B^(2)=C^(2)`. Which of the following statements, is correct:-

Options

A. `vecA` is parallel to `vecB`
B. `vecA` is anti-parallel to `vecB`
C. `vecA` is perpendicular to `vecB`
D. `vecA and vecB` are equal in magnitude

Answer

3

Explanation

`vecA+ vecB= vecC rArr C^(2) = A^(2) + B^(2) + 2AB cos theta `
`rArr A^(2) + B^(2) = A^(2) + B^(2)+ 2AB cos theta`
`rArr cos theta = 0 rArr theta = 90^(@)`