Find the vector equation of the plane passing thrugh the points (2,5,-3),(-2,-3,5),(5,3,-3).

Explanation

`{R}(2,5,-3), {S}(-2,-3,5) `and `{T}(5,3,-3)``{vec{n}}` be direction of normal to plane.


`{vec{n}}={vec{RS}} times {{TS}}=(-4 vec{i}-8 vec{{j}}+8 vec{{k}}) times(7 vec{1}+6 vec{{j}}-8 vec{{k}})`



`=
|[[vec{i} vec{j} vec{k} ],
[-4 -8 8 ],
...