The angle between two vectors a and b is ∅, where ∅≠90°. Under what conditions will |Proj_{ab}|^{2}+ |Proj_{ba}|^{2}= 1?

Don't really know where to start on this one.

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- February 25th 2013, 04:18 PManonymoususer20Projection Vectors Problem
The angle between two vectors a and b is ∅, where ∅≠90°. Under what conditions will |Proj

_{ab}|^{2}+ |Proj_{ba}|^{2}= 1?

Don't really know where to start on this one. - February 25th 2013, 04:44 PMILikeSerenaRe: Projection Vectors Problem
Hi anonymoususer20! :)

I'm not entirely sure what you mean with Proj_{ab}.

Presumably it is:

where is the unit vector in the direction of .

If that is the case you can substitute .

And you can substitute something similar for the other projection.

Have you tried that?

If so, what did you get? - February 25th 2013, 05:17 PManonymoususer20Re: Projection Vectors Problem
Proj

_{ab}is a projection vector.

|P_{ab}|= |a.b|/|b|. - February 25th 2013, 05:21 PMILikeSerenaRe: Projection Vectors Problem
- February 25th 2013, 07:58 PMPlatoRe: Projection Vectors Problem
- February 25th 2013, 11:41 PMILikeSerenaRe: Projection Vectors Problem
- February 26th 2013, 05:03 AMPlatoRe: Projection Vectors Problem
- February 26th 2013, 05:11 AMILikeSerenaRe: Projection Vectors Problem