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Math Help - Find plane equidistant between two points

  1. #1
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    Find plane equidistant between two points

    Find an equation for the plane, each of whose points is equidistant from (-1, -4, -2) and (0, -2, 2).

    I tried to work on this by setting two distance formulas equal to each other, but I didn't know how to handle the absolute value on both sides, and the d term kept canceling out.

    Also, I'm really hoping the question is referring to points and not vectors using that notation.

    \frac{|-a-4b-2c+d|}{\sqrt{a^2 + b^2 +c^2}}=\frac{|-2b+2c+d|}{\sqrt{a^2 + b^2 +c^2}}
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  2. #2
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    It is just the plane containing the midpoint \left(\frac{-1}{2},-3,0\right) with normal <1,2,4>
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  3. #3
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    Quote Originally Posted by Plato View Post
    It is just the plane containing the midpoint \left(\frac{-1}{2},-3,0\right) with normal <1,2,4>
    Oh, I see. That makes sense. So hard to visualize in three dimensions!
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