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Let L1 be the line passing through the points Q1=(−1, 5, 3) and Q2=(1, 6, 1) and let L2 be the line passing through the point P1=(3, 10, 2) with direction vector →d=[4, 4, −2]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q. If not, find a value for the z-coordinate of P1 so the resulting lines do intersect.

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  1. Did you look at my response to your similar post of this question when you posted as "sam" ??
    Follow the same initial steps , with a minor variation at the end.

    https://www.jiskha.com/questions/1806307/Let-L1-be-the-line-passing-through-the-points-Q1-4-2-3-and-Q2-0-2-3

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    Reiny

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