Hello,

I'm doing my math homework for cal 3 and I need some help with the following three problems. Please show me the steps so I can find my errors.

1.

Consider the surface with equation 43:2 3312 + 22 = 25 (a) Find a vector normal to the surface at (3, 2, 1). (b) Find the equation of the tangent plane at the point (3,2,1). . Please do all parts ac. (a) Find a unit vector 3, having the same direction as: 3i + 4j. (b) Find the measure of the angle between 3 = and b = (c) Find a, x (3 given 3 = and b = (1 .1 i .1 1 .1 1 P 1 1 1 1 :1 - n f \\ .1 P Find an equation of the plane determined by the points P(4, 3, 1); Q(6, 4, 7); and R(1, 2, 2)