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This is a vector: A vector has magnitude (size) and direction: The length of the line shows its magnitude and the arrowhead points in the direction.

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Historically, vectors were introduced in geometry and physics (typically in mechanics) for quantities that have both a magnitude and a direction, such as displacements, forces and …

A vector is a mathematical entity that has magnitude as well as direction. It is used to represent physical quantities like distance, acceleration, etc. Learn the vectors in math using formulas …

Dec 2, 2025 · Vectors and units are core tools for describing the physical world in a precise, quantitative way. A vector is a quantity that has both **magnitude** (how big) and **direction** …

Feb 16, 2025 · Our examples have illustrated key principles in vector algebra: how to add and subtract vectors and how to multiply vectors by a scalar. The following theorem states formally …

This topic covers: - Vector magnitude - Vector scaling - Unit vectors - Adding & subtracting vectors - Magnitude & direction form - Vector applications

Vectors, specifically Euclidean vectors, are mathematical objects that encode magnitude and direction. Vectors are ubiquitous in physics and describe quantities such as force, velocity, …

We can define a number of operations on vectors geometrically without reference to any coordinate system. Here we define addition, subtraction, and multiplication by a scalar.