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Normalize: g   =   ( -3, 4, -1)T

Answer:

| g |  =   √(9 + 16 + 1 )  =   √26
gu  =  ( -3, 4, -1)T / ( √26)

Opposite Direction

Opposite Direction

The following represents a unit vector oriented at 45o:

(1, 1)T / ( √2).

The length is

 √( 12/2 + 12/2 ) = 1.

The angle is:

arctan(1/1) = 45o

How would you make a unit vector that is pointed in the opposite direction? Negate each component:

 -( 1, 1)T / ( √2)  =  ( -1, -1)T / ( √2).

QUESTION 13:

Create a unit vector that points in the opposite direction as (3, 0, 2)T.