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Math Help - Distance between points

  1. #1
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    Distance between points

    find the points of (r) that distam 3 units from point A (0,2,1)

    (r):
    y=-x+2
    z=2x-2




    Answer:
    (2,0,2) and (0,2,-2)
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  2. #2
    o_O
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    d = \sqrt{(x_{1} - x_{2})^2 +(y_{1} - y_{2})^2 + (z_{1} - z_{2})^2}

    3 = \sqrt{(x - 0)^2 + ({\color{red}y} - 2)^2 + ({\color{blue}z} - 1)^2}

    3 = \sqrt{x^2 + ({\color{red}-x + 2} - 2)^2 + ({\color{blue}2x - 2} -1)^2}

    etc. etc.

    Solve for x (you'll get two values as you end up solving a quadratic) and plug this into your expressions of y and z.
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  3. #3
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    is obvious. thanks
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