( 716, #7) Find parametric equations and symmetric equations for the line passing through the points
( 3, 1, -1 ) and ( 3, 2, -6 ).

Solution:

A vector must be found first:

v = < 3 - 3, 2 - 1, -6 - ( -1) > = < 0, 1, -5 >

Either of the points can be used to find the parametric equations. Using ( 3, 1, -1) the parametric equations are:

x = 3, y = 1 + t, z = -1 -5t

Solving for t, the symmetric equations are:

by: nl