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JohnnyCode

orthogonal in plane

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Hi

 

I have two 3d vectors A and B. There exist 2  vectors orthogonal to vector A that lies in plane defined by A and B (plane that A and B lies in). How do I find those two vectors?

 

Thanks much!

 

[edit] little keys typo

Edited by JohnnyCode

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The cross product between A and B gives you N, the normal of the plane spanned by A and B. The corss product between A and N gives you a vector that is perpendicular to A, and also perpendicular to the normal N and thus it has to be on the place.

 

Any scalar times the cross product of A and N also perpendicular to A and on the place spanned by A and B, so there is an infinite number of such vectors, not just two.

Edited by Brother Bob

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