Linear Algebra/Modern Geometry

[jann]

Find the parametric equations and symmetric equations of a line L passing through the point (-3,4,2) and parallel to the vector v=(-2,1,-3)

 

[galactus]

$\displaystyle [-3,4,2]+t[-2,1,-3]$

Parametric equation can be found by expanding:

$\displaystyle x=-3-2t, \;\ y=4+t, \;\ z=2-3t$