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## Homework Statement

"Determine the Cartesian equation of the plane that passes through the origin and contains the line [tex]\vec{}r[/tex] = (3,7,1) +

*t*(2,2,3)

## Homework Equations

Ax + By + Cz + D = 0

## The Attempt at a Solution

Well. The way that I was taught to find the Cartesian Equation easily is to find the vector equation of the plane. Then using the two direction vectors, use the cross product of the two, and find the normal. Then the normal (x,y,z), are the same parts as the Cartesian equation, A, B, and C respectfully. Since I have the origin, I can plug in that point to find D, and I'll have the Cartesian equation.

But, I only have one direction vector in the equation I'm given. So I can't find the normal. So how can I solve it?