Linear Algebra (Parametric Form)

[tweety24]

Homework Statement

L1 : x = (0, 1, 2) + s(1, 0, 2)
L2 : x = (4, 2, c) + t(−2, 0, d)

If c = 5 & d = 0, find the point P on L1 and Q on L2 so that the distance between P & Q is the smallest possible.

Homework Equations

the point of intersection?

The Attempt at a Solution

well the lines aren't parallel or identical in this case so they must intersect at some point.

 

[Dick]

You are thinking about two dimensions. In three dimensions non parallel lines don't have to intersect.

 

[tweety24]

oh okayy...so then to start off would i need to find the determinant?

 

[hadroneater]

Are you from UBC Math 152? Lol. I have the same exact question.
https://www.physicsforums.com/showthread.php?t=372610

 

[tweety24]

lol yeahh i am