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Math Help - Just need help with this vector question

  1. #1
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    Just need help with this vector question

    i forgot the whole process, i know that for the second part since they are parallel they have the same normal its just i guess i use the point they gave me. but i still dont know how to get the scalar eqn with that. and for the first 1 im lost, can some 1 shine light on this please? i need to know ASAP so i can complete my hmwk on vectors.

    Determine scalar, vector, and parametric eqns for the plane that passes through the points A(1,-2,0), B(1,-2,2), and C(0,3,2)

    Write a scalar eqn for the plane that contains the point (-1,2,0) and is parallel to the plane (x,y,z) = (1,-2,1) + s(3,1,1) + t(4,-2,1)
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  2. #2
    Member eXist's Avatar
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    First the first one, you can get two vectors in the plane by doing: B - A and C - A:

    B - A = <0, 0 , 2>
    C - A = <-1, 5, 2>

    Then cross these 2 vectors to get a normal vector to the plane:

    <br />
<0, 0 , 2> X <-1, 5, 2> = <-10, -2, 0><br />

    Use this normal vector setup an equation with A(1,-2,0):

    -10(x - 1) - 2(y + 2) + 0(z - 0) = 0
    -10x - 2y = -6

    For the second one, it's a similar problem:

    Find 3 points in the plane by plugging in any numbers for s and t. Use those 3 points to find 2 vectors in the plane, cross them like the first problem, this gives you a normal vector, then setup a plane equation for the other plane using the point they give you: (-1,2,0).
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  3. #3
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    thanks i solved the first 1, i just am having trouble with the second 1
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  4. #4
    Member eXist's Avatar
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    Can I see your work for the second one?
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