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Math Help - parallel lines to planes

  1. #1
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    Exclamation parallel lines to planes

    How do I figure out if a line is parallel to a plane?
    An example equation could be:

    line: x=(4, 3, 8) + t(4, 6, -18)
    plane: x= (9, 3, 7) + k(6, 5, 9) + t(8, 8, 3)

    Thanks for the help!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by arizona11 View Post
    How do I figure out if a line is parallel to a plane?
    An example equation could be:

    line: x=(4, 3, 8) + t(4, 6, -18)
    plane: x= (9, 3, 7) + k(6, 5, 9) + t(8, 8, 3)

    Thanks for the help!
    1. Show that the system of linear equations:

    (4, 3, 8) + t(4, 6, -18)= (9, 3, 7) + u(6, 5, 9) + v(8, 8, 3)

    has no solutions.

    2. Show that the mininmum distance between the line and plane >0

    CB
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