- #1

Mr Davis 97

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## Homework Statement

Find an equation of the plane that passes through the point (1,2,-2) and that contains the line

x=2t,y=3-t,z=1+3t.

## Homework Equations

## The Attempt at a Solution

I know that a plane is determined by a base vector and a normal vector, and the equation of the plane is ##\vec{n} \cdot (\vec{r} - \vec{r_0})##, where n is the normal vector, and r

_{0}is the base vector.

So we know the base vector, and now must determine what the normal vector is to the plane. We need to find two vectors in the plane, and take the cross product of those vectors. I am not sure where to find those two vectors... Would any two non-parallel vectors whose endpoints are on the line suffice?