Definition:Vector Quantity/Also known as

Vector Quantity: Also known as

A vector quantity in this context is frequently referred to just as a vector.

However, the term vector applies to a wider variety of objects than the real-world context of the real vector space $\R^3$

Some sources use the term free vector, so as to distinguish it from what is referred to in $\mathsf{Pr} \infty \mathsf{fWiki}$ as a located vector.

Further to the arrow representation of a vector quantity, some sources refer to such quantities as arrows.

However, that term is not used in this context on $\mathsf{Pr} \infty \mathsf{fWiki}$, as there are many different contexts for arrow.

Sources

• 1921: C.E. Weatherburn: Elementary Vector Analysis ... (previous) ... (next): Chapter $\text I$. Addition and Subtraction of Vectors. Centroids: Definitions: $1$. Scalar and vector quantities
• 1957: D.E. Rutherford: Vector Methods (9th ed.) ... (previous) ... (next): Chapter $\text I$: Vector Algebra: $\S 1$.
• 1960: M.B. Glauert: Principles of Dynamics ... (previous) ... (next): Chapter $1$: Vector Algebra: $1.1$ Definition of a Vector
• 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {V}$: Vector Spaces: $\S 26$. Vector Spaces and Modules
• 1966: Isaac Asimov: Understanding Physics ... (previous) ... (next): $\text {I}$: Motion, Sound and Heat: Chapter $3$: The Laws of Motion: Forces and Vectors
• 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 22$: Vectors and Scalars
• 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $7$: Vector Spaces: $\S 32$. Definition of a Vector Space
• 1972: M.A. Akivis and V.V. Goldberg: An Introduction to Linear Algebra & Tensors (translated by Richard A. Silverman) ... (next): Chapter $1$: Linear Spaces: $1$. Basic Concepts
• 1974: Robert Gilmore: Lie Groups, Lie Algebras and Some of their Applications ... (previous) ... (next): Chapter $1$: Introductory Concepts: $1$. Basic Building Blocks: $4$. LINEAR VECTOR SPACE: Example $1$
• 1992: Frederick W. Byron, Jr. and Robert W. Fuller: Mathematics of Classical and Quantum Physics ... (next): Volume One: Chapter $1$ Vectors in Classical Physics: $1.1$ Geometric and Algebraic Definitions of a Vector
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): vector
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): vector
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): vector

• Weisstein, Eric W. "Vector." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Vector.html
• For a video presentation of the contents of this page, visit the Khan Academy.