Vector-valued functions are functions that output vectors instead of scalars. They take in a parameter (usually denoted as t) and produce a vector with multiple components.
Think of vector-valued functions like a GPS navigation system. The input is your current location, and the output is the direction and distance you need to travel to reach your destination.
Parametric equations: Equations that express variables in terms of one or more parameters.
Velocity vector: A vector that represents an object's speed and direction of motion.
Acceleration vector: A vector that represents how an object's velocity changes over time.
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