Hello.. I need help with vector equation!!!

Find the vector equation of the plane that passes through the points (1,2,7), (2,3,4) and (-1,2,1)

I know how to work out with the two pionts but not three

THANKYOU FOR HELPING ME = )

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- Oct 22nd 2008, 08:34 PMsinni8vector equation of plane
Hello.. I need help with vector equation!!!

Find the vector equation of the plane that passes through the points (1,2,7), (2,3,4) and (-1,2,1)

I know how to work out with the two pionts but not three

THANKYOU FOR HELPING ME = ) - Oct 22nd 2008, 08:44 PMJhevon
see example 1 here

Quote:

I know how to work out with the two pionts but not three

and if you could, why didn't you just ignore the third point and do it? - Oct 22nd 2008, 08:59 PMsinni8
- Oct 22nd 2008, 09:01 PMo_O
A plane can be defined as:

where is a point on the plane and is the normal vector.

Let points A, B, C be (1,2,7), (2,3,4) and (-1,2,1) respectively.

Notice that the plane contains vectors and and their cross product will give the normal vector perpendicular to it.

So find to get (a,b,c) and use one of A, B, or C for your .

Now, again, plug it all into: - Oct 22nd 2008, 09:11 PMJhevon