(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

How do i find the plane determined by these lines?

3. 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?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Plane determined by intersecting lines

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