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Projection formula

How exactly do I use the projection formula to express vector a = ImageUploadedByStudent Room1450193347.094446.jpg in the orthogonal basis ImageUploadedByStudent Room1450193440.739036.jpg ?
Original post by Bruce Harrisface
How exactly do I use the projection formula to express vector a = ImageUploadedByStudent Room1450193347.094446.jpg in the orthogonal basis ImageUploadedByStudent Room1450193440.739036.jpg ?


What is your "projection formula"?
Original post by Bruce Harrisface
How exactly do I use the projection formula to express vector a = ImageUploadedByStudent Room1450193347.094446.jpg in the orthogonal basis ImageUploadedByStudent Room1450193440.739036.jpg ?


Dot product.
(-1,3,4)=s=(s.w1' )w1'+(s.w2' )w2'+(s.w3' )w3', where w1'=w1/|w1| etc

it made sense to me, but now I cant get it to work lol. Ok fixed now.

or s = (s.w1/|w1|^2)w1 + (s.w2/|w2|^2)w2 +...
in this case (-1, 3, 4) = (1,1,0)+4(-0.5,0.5,1)
(edited 8 years ago)

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