Finding a Vector Perpendicular to Two Given Vectors

Given two vectors in three diemsions,neither a multiple of the other, a vector perpendicular to both vectors can be found from the cross product ofand

The three vectors will form a linearly independent set.


Thenis a linaerly independent set.

Reversing the order of the cross multiplication changes the sign, so thatbut does not change the property of being perpendicular.andare both perpendicular to and