How to Convert 3D Cartesian Vectors to Polar Coordinates?

[-EquinoX-]

Homework Statement

I need to convert this to a polar coordinate
$$\vec{F} = 5xz\vec{i} + 5yz\vec{j} + 4z^3\vec{k}$$

Homework Equations

The Attempt at a Solution

I have no idea to do this, can someone help?

 

[dx]

First, you have to write the equations that express x, y and z in terms of θ, φ and r. Then you write i, j and k in terms of the unit vectors $e_\theta, e_\phi$ and $e_r$. Then you just substitute.

 

[-EquinoX-]

First, you have to write the equations that express x, y and z in terms of θ, φ and r. Then you write i, j and k in terms of the unit vectors $e_\theta, e_\phi$ and $e_r$. Then you just substitute.

is the forum having problem with latex?