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**1. Homework Statement**

Where does the line through A(1,0,1) and B(4,-2,2) intersect the plane x+y+z=6?

**2. Homework Equations**

r= r_0 + tv

**3. The Attempt at a Solution**

The line through A and B is the vector AB and can be found by subtracting the A components from the B components. So B-A= <3,-2,1>.

They give x+y+z=6 so the components of that vector is <1,1,1>.

Not sure where to go from here....