1. a) Write the vector and parametric equations of the line through the points A(6, -1, 5) and B(-2, -3, 6).

Question

b) Find another point on the line in (a).

Answer 1

r = 6i-j+5k + t(-8i-2j+k)

x = 6-8t
y = -1-2t
z = 5+t

Answer 2

Can you please do b) Steve? Thank you.

Answer 3

Steve, for a) I got this instead:

vector equation:
[x, y, z] = [6, -1, 5] + t[-8, -2, 1]

parametric equation:
x=6+t(-2)
x=6-2t

y=-1+t(-3)
y=-1-3t

z=5+6t

is that correct? ...