Finding The Normal Plane At A Point To The Intersection Of Two Curves
If two curvesintersect, we can find the normal at a pointby looking at the gradients of the functionsand
is in the plane normal to f at the point (x_1 , y_1 , z_1 ) andis in the plane normal to g at the point (x_1 , y_1 , z_1 ) .
Henceis perpendicular to this plane.
For any vectorin the plane
This can be written