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Mathematics · Glossary

What is Direction vector?

Definition 15.8 High School Mathematics · Chapter 15 — Vectors and Lines in the Plane

A direction vector of a line $d$ is any nonzero vector $\vec u$ such that $\vect{AB}$ is collinear with $\vec u$ for all points $A, B$ of $d$ .

The line x - 3y + 5 = 0 of , its direction vector u = AB (red, here scaled by 1/2), and the two points used to build the equation. — The line $x - 3y + 5 = 0$ of Example 15.11, its direction vector $\vec u = \vect{AB}$ (red, here scaled by $\frac12$ ), and the two points used to build the equation.

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