The discussion revolves around finding the point of intersection between a plane defined by the equation x - 2y + 3z = 11 and a line represented in parametric form. Participants are examining the validity of a proposed solution for the intersection point.
Some participants have suggested verifying the solution by substituting the coordinates back into the plane's equation and checking the line's parametric representation. There is an ongoing exploration of the solution's validity without a clear consensus on its correctness.
Participants are encouraged to show their verification process, indicating a collaborative effort to identify any potential errors in the proposed solution.
You know how to check that this really is a solution, right?whig4life said:intersection between x-2y+3z=11 and <1,0,-2> + t<3,-1,2>
my attempted solution
(59/11, -16/11, 10/11)
whig4life said:It fits according to what I know, but I feel like something is wrong.