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Math Help - find the equation

  1. #1
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    find the equation

    Find the equation in standard form of the plane that passes through the point

    (1, -2, 3) and is perpendicular to 2i +3j - 5k.

    need some help.
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  2. #2
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    Quote Originally Posted by rcmango View Post
    Find the equation in standard form of the plane that passes through the point

    (1, -2, 3) and is perpendicular to 2i +3j - 5k.

    need some help.
    Is <2, 3, -5> a normal vector; that is, is it orthogonal to every vector lying in the plane?

    If so,

    0 = 2(x - 1) + 3(y + 2) - 5(z - 3)

    0 = 2x - 2 + 3y + 6 - 5z + 15

    0 = 2x + 3y - 5z + 23

    And thus, -23 = 2x + 3y - 5z
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  3. #3
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    thanks
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