# Orthogonality

• Dec 12th 2010, 11:06 AM
divinelogos
Orthogonality
Do vectors have to touch to be considered orthogonal? For example, are both of these considered orthogonal?

1. T (the horizontal part of the "t" is a vector and the vertical part is a vector)

2. |
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(both lines are vectors)
• Dec 12th 2010, 11:11 AM
snowtea
Remember vectors have only a direction and magnitude.
They are not located at any position in space, so it doesn't make sense to say when two vectors are "touching"

Two vectors are orthogonal when their directions are orthogonal.

You can "move" a vector around. As long as it has the same direction and magnitude, it is the same vector.
• Dec 12th 2010, 01:19 PM
divinelogos
Is magnitude the same as length?
• Dec 12th 2010, 02:03 PM
snowtea
Yes, magnitude of a vector is normally expressed by length.
• Dec 13th 2010, 03:30 AM
HallsofIvy
We use the word "magnitude" because not all applications of vectors are "geometric". For example the "magnitude" of a velocity vector is speed, not length.