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Equation of a line/plane

  • Thread starter fk378
  • Start date
367
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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....
 

Answers and Replies

Dick
Science Advisor
Homework Helper
26,258
618
Put the components of your parametric equation for the line, e.g x=1+3t into the equation for the plane and solve for t, please? The normal vector to the plane doesn't have much to do with it.
 

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