Right-Handed System: AxB=C or CxA=B?

[phymatter]

if we say that A , B and C form a right handed system , where all 3 are vectors then does it mean that A X B = C or C X A = B ??
pl. help !

 

[HallsofIvy]

If A, B, and C are at right angles to one another, and have length 1, then that specific order, A, B, C, is a "right hand system" if and only if A x B= C, B x C= A, and C x A= B.

 

[phymatter]

thanks HallsofIvy !

 

[g_edgar]

in general (not orthogonal, not unit length) you might say that A,B,C in that order is right-handed iff the triple scalar product (A x B) . C is positive.

 

[phymatter]

in general (not orthogonal, not unit length) you might say that A,B,C in that order is right-handed iff the triple scalar product (A x B) . C is positive.

hi g_edgar!

how does this relate to the previous rule :"If A, B, and C are at right angles to one another, and have length 1, then that specific order, A, B, C, is a "right hand system" if and only if A x B= C, B x C= A, and C x A= B. "

 

[HallsofIvy]

If A x B= C then (A x B) . C= C . C which is positive.