Question

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?

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

the gradient gives you the normal directly.

Answer 5

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

Answer 6

huh?? how do you find tangent then?

Answer 7

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