Orthogonal vectors

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April 4th 2011, 11:29 AM
usagi_killer

Orthogonal vectors

http://img84.imageshack.us/img84/1594/16233805.jpg

I'm not sure how to do part a) and b). For a) I don't get how the hint helps.

Eg, I did $P_1P_2 = \frac{1}{||a||^2}aa^T\frac{1}{||b||^2}bb^T$ and we know that a.b = 0 but there are no dot products in the former equation...

Cheers!
April 4th 2011, 12:25 PM
Opalg

Quote:

Originally Posted by usagi_killer

http://img84.imageshack.us/img84/1594/16233805.jpg

I'm not sure how to do part a) and b). For a) I don't get how the hint helps.

Eg, I did $P_1P_2 = \frac{1}{||a||^2}aa^T\frac{1}{||b||^2}bb^T$ and we know that a.b = 0 but there are no dot products in the former equation...

In fact, there is a (disguised) dot product in that equation, because $a^{\textsc t}b$ is just another way of writing $a.b$ .

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