Where does the normal line to the paraboloid $$z=x^2+y^2$$ at the point (1,1,2) intersect the paraboloid for the second time?

Question

experimentx · Answer

find the normal and solve it, the normal is given by
$$  r(x,y, z) = (1, 1, 2) + \nabla (x^2+y^2-z) $$

experimentx · Answer

edit::
$$ r(t) = (1, 1, 2) + t \left( \nabla (x^2+y^2-z) |(x,y,z) \to (1,1,2)\right) $$

anonymous · Answer

ain't u spose to find the tangent slope first then after look for the normal slope

experimentx · Answer

the gradient gives you the normal directly.

anonymous · Answer

bt the gradient will change due to you will b using the equation Mtan * Mnorm = 1. wher u will be having ur Mtan

experimentx · Answer

huh?? how do you find tangent then?

anonymous · Answer

oh... sorry my mistake i did not see you got three points given