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johann1301
- 217
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see figure: http://en.wikipedia.org/wiki/Vector_projection#mediaviewer/File:Projection_and_rejection.png
Im reading about projections of vectors. My book says nothing about what the projection a1 of a on b is when a and b are complex vectors.
To find the formula for the projection, one needs to take the scalar product of b and (a-a1) and set it to equal zero and set that a1 equals some number times b.
But since a and b are complex, doesn't it matter which order this is done in?
If both a and b are complex, do we get two different projections onto b from a ?
see this, about 9:30 minutes in: http://www.khanacademy.org/math/lin..._trans_examples/v/introduction-to-projections
Im reading about projections of vectors. My book says nothing about what the projection a1 of a on b is when a and b are complex vectors.
To find the formula for the projection, one needs to take the scalar product of b and (a-a1) and set it to equal zero and set that a1 equals some number times b.
But since a and b are complex, doesn't it matter which order this is done in?
If both a and b are complex, do we get two different projections onto b from a ?
see this, about 9:30 minutes in: http://www.khanacademy.org/math/lin..._trans_examples/v/introduction-to-projections
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