( 716, #1) Find the vector equation and parametric equations for the line passing through the point ( 3, -1, 8 ) and parallel to the vector a =

( 716, #1) Find the vector equation and parametric equations for the line passing through the point
( 3, -1, 8 ) and parallel to the vector a = < 2, 3, 5 >.
Solution:
For the vector equation:

The parametric equations are: x = 3 + 2t, y = -1 + 3t, z = 8 + 5t by: nl