Position vector in 3D Cartesian (r = xi + yj + zk)
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r = xi + yj + zk
What each symbol means
| Symbol | What it stands for |
|---|---|
| r | Position vector of the particle (m) |
| x | x-coordinate (m) |
| y | y-coordinate (m) |
| z | z-coordinate (m) |
| î,ĵ,k̂ | Unit vectors along x, y, z axes |
When to use this
Locates particle in 3D space relative to origin. Displacement Δr = r₂ − r₁. Velocity v = dr/dt. Magnitude |r| = √(x²+y²+z²).