# intersection point line with 3d parabolic

I try to find intersection point between line and Paraboloid surface in 3D. I have 2 point on the line (x1,y1,z1) (x2,y2,z2) and the Paraboloid equation namely the Q matrix from here: http://www.cs.mtu.edu/~shene/COURSES/cs3621/NOTES/geometry/simple.html

How can I find the intersection between them?

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## 1 Answer

Ok I find the answer We calculate the normal vector from p1 to p2 (a_p,b_p,c_p) and then we can to calc: X=x1+a*t y=y1+a*t z=z1+a*t

and then placed in the data equation. We get one equation with one unknown- t .

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