Для составления уравнения плоскости используем формулу:
<span><span><span>x - xA </span><span>y - yA </span><span>z - zA</span></span></span>
<span><span><span>xB - xA </span><span>yB - yA </span><span>zB - zA</span></span></span>
<span><span><span>xC - xA </span><span>yC - yA </span><span>zC - zA</span></span></span> = 0.
Подставим данные и упростим выражение:
<span><span><span>x - 3 </span><span>y - 0 </span><span>z - 0 </span></span></span>
<span><span>0 - 3 (-4) - 0 </span></span>0 - 0
0 - 3 0 - 0 5 - 0 = 0.
<span><span><span>x - 3 </span><span><span>y - </span>0 </span><span><span>z - </span>0</span></span></span>
<span><span>-3 -4 0</span></span>
<span><span>-3 0 5</span></span> = 0.
<span><span>(x - </span>3)(</span>-4·5-0·0) - (<span><span>y - </span>0)(</span>(-3)·5-0·(-3)) +(<span><span>z - </span>)(</span>(-3)·0-(-4)·(-3)) = 0.
(-20)(<span>x - 3</span> )+ 15(<span>y - 0)</span> + (-12)(<span>z - 0)</span> = 0.
- 20x + 15y - 12z + 60 = 0.