I'm given 2 unit vectors a_x and a_theta.
I need to find the dot product between the two.
Conversion from Cylindrical to Cartesian
x = r * sin(theta)
y = r * cos(theta)
z = z
Conversion from Cartesian to Cylindrical
r = sqrt(x^2 + y^2)
theta = tan^-1(x/y)
z = z
The Attempt at a Solution
I'm just curious if you were my teacher what kind of answer would you want?
I think the point he's trying to prove is that theta is the angle between the x and y plane but I have no idea how to put that mathematically with the given formulas..