Category:Equation of Straight Line in Space/Vector Form

This category contains pages concerning Equation of Straight Line in Space/Vector Form:

Let $\mathbf a$ and $\mathbf b$ denote the position vectors of two points in space

Let $L$ be a straight line in space passing through $\mathbf a$ which is parallel to $\mathbf b$.

Let $\mathbf r$ be the position vector of an arbitrary point on $L$.

Then:

$\mathbf r = \mathbf a + t \mathbf b$

for some real number $t$, which may be positive or negative, or even $0$ if $\mathbf r = \mathbf a$.