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

Question

perl · Answer

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

perl · Answer

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

perl · Answer

r_o  that should say

anonymous · Answer

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

perl · Answer

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

perl · Answer

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

anonymous · Answer

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

perl · Answer

y does not have to be zero, but

perl · Answer

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

anonymous · Answer

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