SOLUTION: Please find the projection of u = <6, 7> onto v = <-5, -1>. Put {{{ U }}} as the sum of two orthogonal vectors.

Question 1076191: Please find the projection of u = <6, 7> onto v = <-5, -1>. Put as the sum of two orthogonal vectors.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
So the scalar projection of u onto v is,

Now just multiply by the unit vector in the v direction.
=(,)
So then,
=(,)
=(,
.
.
.
u=6(1,0)+7(0,1)
(1,0) and (0,1) are orthogonal since their dot product equals zero.

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