Question

At what point does the line r=(-2,3,1)+s(2,3,-1) intersect the y-axis?

Answer 1

x = -2 + 2 s
y = 3 + 3 s
z = 1 - s

on the y axis, x and z are 0

0 = -2 +2 s
0 = 1 - s
so it is where s = 1
then
y = 3+3 = 6
so
(0 , 6 , 0 )