Point of intersection between plane and line?

[whig4life]

intersection between x-2y+3z=11 and <1,0,-2> + t<3,-1,2>

my attempted solution

(59/11, -16/11, 10/11)

 

[Mark44]

intersection between x-2y+3z=11 and <1,0,-2> + t<3,-1,2>

my attempted solution

(59/11, -16/11, 10/11)

You know how to check that this really is a solution, right?

 

[whig4life]

It fits according to what I know, but I feel like something is wrong.

 

[Dick]

It fits according to what I know, but I feel like something is wrong.

Mark44 is suggesting you actually check it. Put those numbers into the equation for the plane. Does it work? Check again that it is on the line. Then you won't have to feel like something is wrong.

 

[Mark44]

Show us how you did your check. If there's something wrong, I'm sure we'll spot it.