- #1
goonking
- 434
- 3
Homework Statement
Where does the line through (−2, 3, 2) and (3, 5, −1) intersect the plane x + y − 2z = 6?
Homework Equations
The Attempt at a Solution
i used r = r0 + tv
the vector between the 2 given points is <5,2,-3>
r = (-2,3,2) + t<5,2-3>
x = -2 + 5t y=3+2t z=2 - 3t
plugging these into the plane given: -2+5t + 3+2t -2(2-3t)= 6
solving for t , t should equal 9/13 if my algebra is correct.
plugging into the parametric equations , the point of intersection should be (19/13 , 57/13, -1/13)
can someone check all this?