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Table of Contents

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Definition

A point in 3D space represents a specific position relative to a coordinate system.

• Points are represented using coordinates $(x, y, z)$.

Position Vectors

Points are often represented using position vectors.

• These vectors extend from the origin to the given point.
• The vector's tip indicates the point's location.

Operations on Points

Points and vectors are related but, different. While points show locations in space, we can do some special math operations with them.

Difference Between Two Points

The difference between two points $q$ and $p$ is defined.

$$ \vec{v}=q - p $$