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Let x be the position vector of the point relative to some origin.
It is important to note that the position vector of a particle isn't unique.
For any choice of position vector R, the lattice looks exactly the same.
Represent the points x and r as position vectors relative to the center of mass.
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For each position vector sum we first plot the position in space.
In an inertial frame, let be the position vector of a moving particle.
A position vector may also be defined in terms of its magnitude and direction relative to the origin.
Two different times and two position vectors are given.
Displacement, impulse, momentum and position vector are therefore global variables.
The position vector defines a point in space.
Let the position vector of a point in the undeformed plate be .
Any force directed parallel to the particle's position vector does not produce a torque.
It is given simply by Here x corresponds to position vector r of a vehicle or vessel.
The angle is the (smallest) angle between the two position vectors.
Consider now a material point neighboring , with position vector .
Consider a particle or material point with position vector in the undeformed configuration (Figure 2).
These different coordinates and corresponding basis vectors represent the same position vector.
Similarly define the position vector of vertex A as .
Exactly the same transformation rules apply to any vector a, not only the position vector.
In this frame, the vector is the position vector for the second particle.
If the position vector varies with time it will trace out a path or surface, such as the trajectory of a particle.
The eigenvalue of the operator is the position vector of the particle.
The velocity may be equivalently defined as the time rate of change of the position vector.
Linear algebra allows for the abstraction of an n-dimensional position vector.