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Physics · Ch 2 — Kinematics

Position Vector

2.6

Position Vector

The position vector of a particle is the vector that fixes its location at a given instant, measured with respect to a chosen frame of reference/origin. In a Cartesian system, if a particle is at the point P(x,y,z)P(x,y,z), its position vector is

r⃗=xi^+yj^+zk^\vec r = x\hat i + y\hat j + z\hat k …

Figure 2.25Position vector in a Cartesian coordinate system

What this figure shows. A point P(x,y,z)P(x,y,z) in 3-D space joined to the origin OO by an arrow labelled r⃗\vec r, the position vector, with dashed lines dropping to the xx, yy, zz axes to show its components. …