Equation a plane through 3 points.

[ScullyX51]

Homework Statement

Find an equation of the plane through the points: A=(1,2,3), B=(0,1,3) and C=(2,14)

Homework Equations

r= r[0]+tv
vector equation of a plane: a(x-x[/0)+ b(y-y[/0]) + c(z-z[/0])=0

The Attempt at a Solution

Since I am given three points and no vector, I am a bit confused on what to do. I tried to compute the normal vector, and got:
(1,2,3)-(0,1,3)
n=<1,1,3>

Any corrections/suggestions on what to do next?

 

[Dick]

(1,2,3)-(0,1,3) is (1,1,0) not (1,1,3). And that's a tangent vector, not a normal vector. Hint: you can find a normal vector if you can find two different tangent vectors and take the cross product.