Thread: Equations of a line in three space.

The question: A line q is defined be the vector equation [x,y,z]=[4,-3,2] +t[1,8,-3]. Answer the following without technology.

b) determine if line q intersects line r, defined by [x,y,z]=[2,-19,9]+s[4,-5,-9].

I'm not sure how I would do this. I tried setting the parametric equations equal to each other and then solving for t and then subbing into one the original but I was getting a crazy answer. I have no idea how would i do this in 3-space. Any help would be appreciated.

Originally Posted by darksoulzero

The question: A line q is defined be the vector equation [x,y,z]=[4,-3,2] +t[1,8,-3]. Answer the following without technology.
b) determine if line q intersects line r, defined by [x,y,z]=[2,-19,9]+s[4,-5,-9].

Solve this system if the solution also solves then they intersect.

Thanks for the superfast reply. I appreciate your help, but I found out how do it when I googled it.

Originally Posted by darksoulzero

Thanks for the superfast reply. I appreciate your help, but I found out how do it when I googled it.

Can you googled it on a test?

Actually, I found another site similar to this one and it had an example explaining the solution. Also, this is just extra practice and I wanted to try and get the answer on my own so I used google.