Final answer:
The vectors are already expressed in terms of the spherical coordinate unit vectors r, θ, and φ. Each coefficient represents the magnitude in the direction of the corresponding unit vector.
Step-by-step explanation:
The student's question involves expressing vectors in terms of their unit vector components in spherical coordinates. In spherical coordinates, the vector components are described using three directions: the radial direction r, the polar angle direction θ (theta), and the azimuthal angle direction φ (phi). These correspond to the unit vectors in the radial, polar, and azimuthal directions, respectively. For the given vectors, they are already expressed in terms of these unit vectors, indicating the multiples of each corresponding unit vector component:
Each vector is a linear combination of the unit vectors in the radial, polar, and azimuthal directions. The coefficients in front of each unit vector give the respective magnitudes of the components in those directions.