Mathematics, 08.09.2021 21:50 samy14
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.
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Multivariable Calculus!
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