Find parametric equations for the line that passes through the point P and is parallel to the vector v. (Enter your answers as a comma-separated list. Let x, y, and z be in terms of t.)

Question

Find parametric equations for the line that passes through the point P and is parallel to the vector v. (Enter your answers as a comma-separated list. Let x, y, and z be in terms of t.)

P(5,4,3) v=(0,-4,2)

Answer 1

Symmetric equation of line: (x - 5)/0 = (y - 4)/(- 4) = (z - 3)/2 = t, from here

x = 5, y = - 4t + 4, z = 2t + 3