How to I convert a plane from the ax+by+c=z form to ax+by+cz+d=0 form?
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Take all the terms onto the same side of the equation? – Mark Bennet Oct 02 '19 at 21:08
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What do you think? If you assumed everything was nice and simple and worked the way you expected it to do, how would you do it? – Arthur Oct 02 '19 at 21:08
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$ax+by+(-1)\cdot z+c=0$ – Oct 02 '19 at 21:22
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Subtract $z$ from both sides. You'll get $$ax+by-z+c=0$$
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I tried to visualize a b c d terms as a plane. While the normal looks correct, the plane doesn't lie on the points – user1436508 Oct 02 '19 at 21:12
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