Finding equation of a plane passing through a point with given direction vectors

[htoor9]

Homework Statement

I need to find the equation of a plane with direction vectors <1,3,-1>/sqrt(11) and <-2,1,1>/sqrt(6) passing through the point (1,2,3)

Homework Equations

The Attempt at a Solution

I'm not really sure what to do, I was considering taking the cross product, but I'm not sure what that would leave. Thanks

 

[Dick]

The cross product of two tangent vectors would give you a normal vector, wouldn't it? Can't you find the equation of the plane from a normal vector and a point on the plane?