Sat September 22, 2012 By:

If A,B,C are mutually perpendicular, show that Cx(AxB)=0 is the converse true?

Expert Reply
Mon September 24, 2012
A x B is defined as being mutually perpendicular to A and B both.
Since C is also mutually perpendicular to both A and B thus C x (A x B) = 0
yes the converse is true in the sense that C is mutually perpendicular to A and B but it does not mean that A and B are also perpendicular to each other
there can be any angle between them.
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