# How To Find The Intersection Of Two Lines In Space If At All Possible.

## Homework Statement

I am given the equation of two lines that are in three space. They are in the form of (X=, Y=, Z= ). The questions wants me to prove whether or not the lines intersect.

## Homework Equations

The equations of the lines. It gives me just the points in the equation, but it is assumed I can get the equation of the line easily.

## The Attempt at a Solution

I guess I need to find a common point some how? I know the intersections may not be at the same time.

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## Homework Statement

I am given the equation of two lines that are in three space. They are in the form of (X=, Y=, Z= ). The questions wants me to prove whether or not the lines intersect.

## Homework Equations

The equations of the lines. It gives me just the points in the equation, but it is assumed I can get the equation of the line easily.

## The Attempt at a Solution

I guess I need to find a common point some how? I know the intersections may not be at the same time.
Use a different parameter for each line. Instead of using t as the parameter for both lines, use, say, s for one line, and t for the other. At any point of intersection both x values have to be equal, both y values, and both z values.

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