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 2 years ago
Find the intersection point between two lines:
L1=<3,5,7>k+<1,2,0>
L2=<3,1,4>t+<1,2,3>
 2 years ago
Find the intersection point between two lines: L1=<3,5,7>k+<1,2,0> L2=<3,1,4>t+<1,2,3>

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experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1just equate the values of x, y, z from those two lines and find the valeus of k and t. if you don't find singular values ... then they do not intersect.

derrick902
 2 years ago
Best ResponseYou've already chosen the best response.0Hey @experimentX . I tried solving this intersection using a similar method you showed me for the line and plane intersection, does it work here as well?

derrick902
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah, I found the intersection using the x,y,z components from L1 and L2 and found the correct intersection. I was just wondering if we could solve it using the other way you showed me for the line and plane problem

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1yeah it works .... just try to find the value of k and t ... from first two equation. put the value on the last equation. If it's invalid then the line does not intersect.

derrick902
 2 years ago
Best ResponseYou've already chosen the best response.0Okay, so far I have from L2: 1+3t >k1 2t >k2 34t>k3 and L1: 3k1+5k2+7k3=1 Filling those values from L2 into L1, I get: 1=3(1+3t)+5(2t)+7(34t) 1=39t+105t+2128t t=27/42

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1lol ... what are you doing?? dw:1350576239788:dw

derrick902
 2 years ago
Best ResponseYou've already chosen the best response.0Was what I did not the way i'm suppose to do it? lol

derrick902
 2 years ago
Best ResponseYou've already chosen the best response.0I just tried to do it a similar way to the way we solved the line and plane intersection; breaking up the line equation into it's x,y,z components, then filling them into the plane equation, except here there's two lines, so I broke up one of the line equations into it's x,y,z, and filled it into the other line equation

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1you are making it complicated... we are trying to find the point common to both lines. so just equate x, y and z of both lines.

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1well ... trying to find a plane that would contain both lines is not bad either. good pratice for other problems!
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