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Vector-valued functions

Definition

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.

Analogy

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.

Related terms

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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© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.