(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine whether the following two lines intersect:

(x-2)/2 = (y+3)/1 = (z-4)/-3 ,and (x+3)/4 = (y+4)/1 = (-z+8)/4

Find an intersection point, then find the distance between the lines.

2. Relevant equations

Symmetric equations of a straight line (given)

Parametric equations of a straight line.

AxB/mag(AxB)

3. The attempt at a solution

First I parametrized the equations and got :

x=1+2t x=-3+4t

y=-3+t y=4+t

z=4-3t z=8-4t

Then I found PQ and n and I am not sure what to do next to find the intersection point.

Thank You

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# Homework Help: Linear Algebra- Finding the intersection of two straight lines.

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