Vectors A,B,C: Is Parallel Necessary?

anigeo · Jan 26, 2012

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?

Rap · Jan 27, 2012

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.

mathfeel · Jan 27, 2012

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.

Vectors A,B,C: Is Parallel Necessary?

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Vectors A,B,C: Is Parallel Necessary?

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