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Mathematics · Glossary

What is Parametric representation of a line?

Definition 31.3 High School Mathematics · Chapter 31 — Vectors, Lines and Planes in Space

The line through A(xA,yA,zA)A(x_A, y_A, z_A) with direction vector u⃗(a,b,c)≠0⃗\vec u (a, b, c) \neq \vec 0 is the set of points

M(xA+ta,  yA+tb,  zA+tc),t∈R.M(x_A + ta,\; y_A + tb,\; z_A + tc), \qquad t \in \R .
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