# proof of distance between a plane and a point

• Apr 14th 2013, 01:09 PM
kingsolomonsgrave
proof of distance between a plane and a point
Attachment 27948
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)?
• Apr 14th 2013, 01:45 PM
Plato
Re: proof of distance between a plane and a point
Quote:

Originally Posted by kingsolomonsgrave
Attachment 27948
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.