# Thread: Vector and parametric eqn. of line

1. ## Vector and parametric eqn. of line

Write the vector and parametric equations of the line passing through A(3, -1, 2) and parallel to the x-axis.

2. Hello, matthewspj!

Write the vector and parametric equations of the line
passing through A(3, -1, 2) and parallel to the x-axis.

The x-axis has the direction vector: . $\langle 1,0,0\rangle$

The vector is: . $\vec{v} \;=\;\langle3+t,\:\text{-}1,\:2\rangle$

The parametric equations are: . $\begin{Bmatrix}x &=& 3 + t \\ y &=& \text{-}1 \\ z &=& 2 \end{Bmatrix}$