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Math Help - Finding parallel vectors in 3 dimensions

  1. #1
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    Question Finding parallel vectors in 3 dimensions

    Having a vector start at the origin and go to some vector, <a, b, c>, and given a second vector in the same form <x, y, z>, is there a way to tell that they're parallel.

    Graphing them out is the only way I can do this, I'm sure there's a better method for doing this task.
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  2. #2
    Junior Member RaisinBread's Avatar
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    For one thing two parallel vectors are co linear (on the same line), so if (a,b,c) and (x,y,z) are parallel there exists some coefficient K such that (a,b,c)=K(x,y,z). Moreover, if two vectors are parallel, their cross product is zero.
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