Introduction

Find the vector from A(−3, −4, 6) to B(−5, 2, −8) and express it in cylindrical coordinates.

Transform A = 4aₓ − 2aᵧ − 4a_z into spherical coordinates at P(−2, −3, 4).

Express D = (x aₓ + y aᵧ)/(x² + y²) in cylindrical coordinates and find D at ρ = 2, φ = 0.2π, z = 5.