Multivariable Calculus! In the figure to the​ right, it looks as if and are orthogonal. Under what circumstances would we expect the sum of two vectors to be orthogonal to their​ difference?
Figure:
Three vectors extend from a common point. Vector v 1 extends up and to the right. Vector v 1 plus v 2 extends up and to the right, with its terminal point above the terminal point of v 1. Vector v 1 minus v 2 extends down and to the right, with its terminal point below the terminal point of v 1. Vector v 2 extends up from the terminal point of v 1 to the terminal point of v 1 plus v 2. Vector negative v 2 extends down from the terminal point of v 1 to the terminal point of v 1 minus v 2.
Choose the correct answer below.
A.
They will be orthogonal if and are orthogonal.
B.
They will be orthogonal if either or is a unit vector.
C.
They will be orthogonal if and have the same magnitude.
D.
They will be orthogonal if and do not have the same direction.