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Math Help - How do I do parametric and symmetric equations

  1. #1
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    How do I do parametric and symmetric equations

    Find parametric and symmetric equations of the line passing through
    P1 (−3, −2, −1) and P2 (1, 2,3)

    Where does the line intersect the x-y plane?

    Help!
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  2. #2
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    Quote Originally Posted by Quixomatic View Post
    Find parametric and symmetric equations of the line passing through
    P1 (−3, −2, −1) and P2 (1, 2,3)

    Where does the line intersect the x-y plane?

    Help!
    The direction is \overrightarrow{P_1 P_2} = <4,4,4> so the line is

    parametric: x = 1 + 4t,\; y = 2 + 4t,\; z = 3 + 4t

    symmetric: \frac{x - 1}{4} = \frac{y - 2}{4} = \frac{z - 3}{4}

    or x - 1 = y - 2 = z - 3

    Where it intersects the xy plane. Find the t value where z = 0. Then use this to find  x and y.
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  3. #3
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    Wow thankyou so much for the quick response, that is extremely helpful So all I do now is set z equal to 0 within its parametric equation and then use that new t value to find x and y?
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  4. #4
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    Quote Originally Posted by Quixomatic View Post
    Wow thankyou so much for the quick response, that is extremely helpful So all I do now is set z equal to 0 within its parametric equation and then use that new t value to find x and y?
    Yep. That's it!
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