Let P=(1,2,-1).Find the Point of intersection of the plane 3x-4y+z=2 with the line through P,perpendicular to N.

>My wrong solution deduction: So I thought that if I have the line X=P+ tN (N being the normal vector of the plane) and then write X*N=2 I will get the point of intersection if I find t.But I got 3/20,-8/20,-1/20.Which is the wrong answer.Not sure if my deduction is wrong or my algebra is wrong.

>The Correct answer The correct answer is (25/13,10/13,-9/13)

>The help part How do we solve this problem.I'm kinda retarded so please go in as much depth as you can bother with.JOB

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