Question

State where possible vector, parametric, and symmetric equations for each of the following lines.
e. the line passing through the points X(-4,3,0) and O(0,0,0).
f. the line passing through the point Q(1,2,4) and parallel to the z-axis.

Answer 1

For e,
XO= (0,0,0)-(-4,3,0)
= (4,-3,0)
Vector equation
r= t(4,-3,0)
parametric equation
x=4t
y=-3t
z=0
Symetric Equation
t=x/4 , t=y/-3 , z=0

Answer 2

@ParthKohli

Answer 3

@misty1212