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Vector Math

See the geometry behind vector algebra so the formulas become pictures you remember.

Getting Started

What a vector is and how to read it.

What Is a Vector?

A vector is an arrow with direction and magnitude. See its components, its length, and how two vectors add tip-to-tail — the foundation of vector math.

Core Operations

Combining vectors — scaling, subtraction, the dot product and projection.

Vector Operations

Beyond addition: scale a vector, subtract one from another, and read the dot product as a projection — the everyday toolkit of vector algebra.

Derived Operations

Built from the basics — angle, distance, reflection and interpolation.

Derived Vector Operations

Angle, distance, reflection and interpolation — all built from the dot product and subtraction you already know.

Related categories

Foundations