Vectors A,B,C: Is Parallel Necessary?

anigeo
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say for example for 2 vectors A.B=0 and for another pair A.C=0.is it necessary that B is parallel to C.If yes how?
 
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As long as A and B are not zero, A.B=0 means A and B are perpendicular. A.C means A and C are perpendicular. That does not mean that B and C are parallel. Think of the three cartesian axes vectors X, Y, and Z: X.Y=0 and X.Z=0 but Y and Z are not parallel.
 
anigeo said:
say for example for 2 vectors A.B=0 and for another pair A.C=0.is it necessary that B is parallel to C.If yes how?

Only in 2D.
 

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