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- anonymous

Hi. Im looking for the formula to calculate the orthogonal projection of w onto the subspace spanned by u
and v. Where W,U,V are vectors

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- anonymous

- schrodinger

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- amistre64

would that be the cross product of u and v?

- amistre64

or rather, if they exist all inthe same subspace and are orthogonal; then wouldnt the dot products betweenthem be zero?

- amistre64

orthogonal projection...... eh...

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- amistre64

i dont know the formula, but it sounds intriguing ;)

- anonymous

here is a simple example that may help

- amistre64

lol..you said it was simple :)

- anonymous

The vectors themselves are as follows
u = 1 over the square root of 2 [-1]
[ 0]
[1]
v = 1 over the square root of 6 [1

- anonymous

v = 1 over the square root of 6 [1 ]
[-2]
[1]
w = [2]
[1]
[-3]

- anonymous

There is a formula for orthogonal projection but it is usually used between two vectors, you would have to figure out how to use it with a third. For example orthogonal projection of v on u is [(v dot u)/||u||^2]multiplied by vector u

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