If two non-parallel vectors `vecA` and `vecB` are equal in magntiude, them vectors `(vecA - vecB)` and `(vecA + vecB)` will be :

Options

A. parallel to each other
B. parallel but oppositely directed
C. perpendicular to each other
D. inclined at an angle `theta` always less than `90^(@)`

Answer

C

Explanation

`(vecA- vecB) (vecA+ vecB)=0`
`A^(2) - B^(2) =0`
`cos theta =(|vecA|^(2) - |vecB|^(2))/(|A||B|) `
`rArr" "(0)/(|A||B|) =0`
`theta = (pi)/(2)`