- #1

malty

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**[SOLVED]Finding the point of intersection of two lines**

Hi, I would really, really appreciate it if someone could help me with this.

## Homework Statement

Find the point of intersection between the lines:

[tex] R_1(\lambda)=[1,\hspace {4} 0 \hspace {4} ,-1] + \lambda[1, \hspace {4} 1,\hspace {4} 1] [/tex]

[tex] R_2(\lambda)=[1, \hspace {4}2,\hspace {4} 1] +\mu[4, \hspace {4}2, \hspace {4}2,][/tex]

## The Attempt at a Solution

I'm not really sure how to do this, my line of thought was that I need to somehow get rid of the constants variable [tex] \lambda and \mu[/tex] by equating

[tex] R_1(\lambda)=R_2(\mu) [/tex]

I got:

[tex]\mu[4,2,2]-\lambda[1,1,1]=[0,-2,-2][/tex]

This is Where I think I'm stuck. I think I need a second equation that relates lambda and mu but I can't seem to find one, I think that it may be something to do with the angles of two intersecting lines before and after the point of intersection being the same, but really I'm just grasping at straws.

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