Question

Cylindrical coordinate derivative of unit vectors

Options:
A. "The derivative of unit vectors in cylindrical coordinates involves considering changes along the radial direction."
B. "Cylindrical coordinate derivatives of unit vectors are computed by evaluating changes along the z-axis."
C. "Unit vector derivatives in cylindrical coordinates are determined by variations along the azimuthal direction."
D. "Calculating the derivative of unit vectors in cylindrical coordinates requires examining changes along the axial direction."

Answer 1

The derivative of unit vectors in cylindrical coordinates involves considering changes along the radial direction.

Step-by-step explanation:

The derivative of unit vectors in cylindrical coordinates involves considering changes along the radial direction. In cylindrical coordinates, the unit vector in the radial direction is denoted by Fr and it points outward from the origin along the radius of the cylinder. The derivative of Fr with respect to the radial coordinate r represents the rate of change of the unit vector in the radial direction.