# Angle of inclincation between tangent and plane

1. Nov 3, 2009

### filter54321

1. The problem statement, all variables and given/known data
Find the angle of inclination of the tangent and plane to the surface at the given point.
(I we are comparing the tangent plane to the XY-plane)

2. Relevant equations
2xy-z3=0
Point: (2,2,2)

3. The attempt at a solution
This one was thrown into the textbook just to piss us off. No other problem has z to an exponent. My first thought was to rearrange the surface equation and take fx and fz rather than fx and fy as we had always been trained. I found that plane, took the <A,B,C> coefficient normal vector and found $$\theta$$ between that normal vector and the K vector (Z-axis) but my answer isn't correct.

Thanks

2. Nov 3, 2009

### lanedance

$$\nabla F(x,y,z)$$