Question

Find a vector parameterization for the line
Perpendicular to the yz-plane and passes through
(0, 0, 5)

Answer 1

I know how to parametize a line that passes through two points, but I am not sure how to extract information from that fact that it is perpendicular ot the yz-plane.

Answer 2

all I know is the equation for the yz plane is x=0

Answer 3

it has to be something like <0,0,5>+t<?,?,?> i think

Answer 4

I always think of these problems as a start point + scalar * direction vector

Answer 5

The direction vector in this case is the vector normal to the yz-plane

Answer 6

the normal to the yz-plane? Thats where I am stuck. I dont know what the direction vector is

Answer 7

@phi what did you mean by the vector normal to the yz-plane?

Answer 8

you want
"a line perpendicular to the yz-plane "

a "normal vector to a plane" is a vector that is perpendicular to the plane.
in your case you have