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Math Help - Plane through 3 given Points

  1. #1
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    Plane through 3 given Points

    Hi everyone.
    I've got this question about finding the plane equation that goes through:
    A=(-1,2,0) B=(1,2,0) C=(0,3,-1)

    So shall i use the cross product as ABxAC or CAxCB as C is perpendicular to A and B?

    Thank you
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    They are one and the same thing

    their cross product will yield a vector perpendicular to the plane which is same...

    Its CAxCB = ABxAC = 2j + 2b

    ......
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  3. #3
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    Quote Originally Posted by Snowboarder View Post
    Hi everyone.
    I've got this question about finding the plane equation that goes through:
    A=(-1,2,0) B=(1,2,0) C=(0,3,-1)

    So shall i use the cross product as ABxAC or CAxCB as C is perpendicular to A and B?

    Thank you
    As Adarsh said, both cross products will give the same plane- \vec{u}\times\vec{v}= -\vec{v}\times\vec{u}- they are vectors pointing in opposite directions and so perpendicular to the same plane.

    But please don't say "C is perpendicular to A and B". A, B, and C are points, not lines or vectors and so are not perpendicular to anything.
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