Converting between polar and Cartesian coordinates
... by the length of its position vector r and the angle q between it and the positive direction of the x-axis, where 0 < r < + oo and 0 < q < 2p.
Spherical coordinates (r, θ, φ) as commonly used in physics (ISO convention): radial distance r, polar angle θ (theta), and azimuthal angle φ (phi).
Then the conversion from a cartesian vector (x, y) of a position P to polar coordinates (radius, angle) is:
Illustration showing how to find the angle between vectors using the dot product
The transformation of velocities provides the definition relativistic velocity addition ⊕, the ordering of vectors is chosen to reflect the ordering of the ...
... geometry (or Analytic geometry) in three-dimensional space, Points, lines and planes in three-dimensional coordinate system represented by vectors
The angular velocity of the particle at P with respect to the origin O is determined by the perpendicular component of the velocity vector v.
XYZ_CC_Static.png. Vortex Angle Set Convention: XYZ CounterClockwise Static
Vector addition for vectors at any angle | Adding vectors | How to add vectors
A-level Physics (Advancing Physics)/Vectors/Trigonometry - Wikibooks, open books for an open world