calculus

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Find parametric equations for the line that is perpendicular to the plane 2x-y+3z=7 and intersects the plane when x=1 and y=1.

  • calculus -

    when x=1 and y = 1
    in the plane:
    2-1 + 3z = 7
    z = 2
    so the line will intersect at (1,1,2)
    and the direction of the line will be (2,-1,3), the normal to the plane

    line equation:
    x = 1 + 2t
    y = 1 - t
    z = 2 + 3t

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