Find a plane for four point by WolframAlpha

Question

How can you find the plane of four points by WolframAlpha?

Example

plane((0,0,0),(2,-1,-1),(4,-2,-2),(8,-4,-4))

should give me x + y + z = 0.

Answer 1

You would have to break it down into pieces and wolfram does not support combined modules like this.

Finding the Vectors

Format : (2,-1,-1) - (4,-2,-2)

Finding the Cross Product

Format : {a1,a2,a3} cross {b1,b2,b3}

Then substitution of one of the points after that.

Answer 2

This is one of the things you can't be lazy with using Alpha. Solution: don't be lazy (well, just this once. Spend an hour playing Black Ops to make up for it.)