- #1
tasc71
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Homework Statement
Find the point of intersection of the lines: x=2t+1, y=3t+2, z=4t+3, and x=s+2, y=2s+4, z=-4s-1, and then find the plane determined by these lines.
Homework Equations
How do i find the plane determined by these lines?
The Attempt at a Solution
Ive read through the text, and i figured out the first part about where they intersect:
v=<2,3,4>
Pt. A=(1,2,3)
2(x-1)+3(y-2)+4(z-3)=0
2x+3y+4z=20
then i substituted the 2nd parametric equation into the x,y,z variables and solved for s.
s=-1
then i plugged s=-1 back into the parametric equation to find x,y,z for intersection
the equations intersect at (1,2,3)
Now I'm stuck...how do i find the planes determined by these lines?