Find a vector equation and parametric equations for the line segment that joins P to Q. P (1, - 1, 5), Q (5, 3, 1) vector equation r (t) = parametric equations (x (t), y (t), z (t)) =

Question

Mathematics

Walter Howe

2 September, 15:33

Find a vector equation and parametric equations for the line segment that joins P to Q. P (1, - 1, 5), Q (5, 3, 1) vector equation r (t) = parametric equations (x (t), y (t), z (t)) =

+5

Answers (1)

Know the Answer?

Brett Deleon · Answer 1

(1+t, - 1+t, 5-t)

Step-by-step explanation:

Direction vector:

(5-1, 3+1, 1-5) = (4, 4, - 4)

You can also take a scalar multiple

So, I'm using (1, 1, - 1) as the direction vector

x (t) = 1+t

y (t) = - 1+t

z (t) = 5-t