Find a vector equation and parametric equations

Question

for the line segment that joins P to Q.
P(1, −1, 7), Q(7, 4, 1)

Answer 1

The two points are P(1, - 1, 7) and Q(7, 4, 1).

The two points form of vector equation : .

The two points form of parametric equations :

Substitute in the above equation.

Equating components, the corresponding parametric equations are obtain to be