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

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Question 1076191: Please find the projection of u = <6, 7> onto v = <-5, -1>. Put +U+ as the sum of two orthogonal vectors.
Answer by Fombitz(32388) About Me  (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.
V%5Bunit%5D=(-5%2Fsqrt%2826%29,-1%2Fsqrt%2826%29)
So then,
u%5Bv%5D=(%28-37%2Fsqrt%2826%29%29%28-5%2Fsqrt%2826%29%29,%28-37%2Fsqrt%2826%29%29%28-1%2Fsqrt%2826%29%29)
u%5Bv%5D=(185%2F26,37%2F26
.
.
.
u=6(1,0)+7(0,1)
(1,0) and (0,1) are orthogonal since their dot product equals zero.
1%2A0%2B0%2A1=0