Question

Write a vector equation of the line that passes through point P(1,5) and is parallel to a(-7,2). Then write parametric equations of the line.

Answer 1

Answer:

$\vec l = (1,5) + t\cdot (-7,2)$, $x = 1 - 7\cdot t$ and $y = 5 + 2\cdot t$

Step-by-step explanation:

The vector equation of the line is:

$\vec l = \vec P + t\cdot \vec A$

$\vec l = (1,5) + t\cdot (-7,2)$

The parametric equations of the line are:

$x = 1 - 7\cdot t$ and $y = 5 + 2\cdot t$