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Math Help - Finding the equation of a plane

  1. #1
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    Finding the equation of a plane

    Here's the problem: "Let A = (-1,3,0), B = (3,2,4) and C = (1,-1,5).
    a) Find the equation for the plane that passes through these three points."

    My work:

    I found AB and AC.
    AB = 4i - j + 4k
    AC = 2i - 4j + 5k

    Then I took the cross product of the two vectors, AB x AC, and got 11i-12j-14k. So then I plugged in one of the sets of points into the equation and got 11(x-3) - 12(y-2) - 14(z-4), which lead me to 11x-12y-14z = -47.

    Could someone check my work and tell me if I did this correctly? Thank you!
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  2. #2
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    Hello, Rumor!

    Absolutely correct! . . . Good work!

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  3. #3
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    Thanks! (:
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