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Math Help - proof of distance between a plane and a point

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    proof of distance between a plane and a point

    proof of distance between a plane and a point-proofb.jpg
    In the proof attached, it says you can substitute the equation for d into equation (17) in and it will yield equation (16). However, d does not appear in (17) so in what sense do they mean I can substitute the expression for d into equation (17)?
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    Re: proof of distance between a plane and a point

    Quote Originally Posted by kingsolomonsgrave View Post
    Click image for larger version. 

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    In the proof attached, it says you can substitute the equation for d into equation (17) in and it will yield equation (16). However, d does not appear in (17) so in what sense do they mean I can substitute the expression for d into equation (17)?

    Yes it is in (17). Look at the line right above that:
    d=-ax_1-by_1-cz_1 there is the d in different format.
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