Write the vector and parametric equations of the line passing through A(3, -1, 2) and parallel to the x-axis.
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: .$\displaystyle \langle 1,0,0\rangle$
The vector is: .$\displaystyle \vec{v} \;=\;\langle3+t,\:\text{-}1,\:2\rangle$
The parametric equations are: .$\displaystyle \begin{Bmatrix}x &=& 3 + t \\ y &=& \text{-}1 \\ z &=& 2 \end{Bmatrix}$