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)) =

( 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

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

Step-by-step explanation:

Hope this helps

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