Question

Find a set of scalar parametric equations for the line that passes through P(1,4,-3) and is perpendicular to the xz-plane

Answer 1

the equation of a line is
r(t) = ro + t*v

Answer 2

ro is a point on the line, and v is a vector parallel to the line (it has the same direction in other words)

Answer 3

r_o that should say

Answer 4

@perl so how do you find that t*v?

Answer 5

we can use the fact that the line is perpindicular to the x z plane

Answer 6

you can use v = < 0, 1, 0 >

Answer 7

if it is perpendicular to the xz-plane, does y=0?

Answer 8

y does not have to be zero, but

Answer 9

we want a vector that is the same direction as the line, so v = <0,1,0> will do