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Ahh, but your rectangle would count as 4 more lines enclosing an otherwise infinitesimal plane. The lines are infinite, thus the plane must be infinite, for a finite plane cannot contain infinite lines. The lines are infinite. This is a given in the question. They are not cut off by some arbitrary box you put them in. For any line to be infinite it must exist on at least an infinite plane. So, your attached example, assuming we rid ourselves of the rectangular parameter, would be no more than an example of the triangle I described above as the top-left line would extend into infinity and create one.winnerhere wrote:you are right. But what about
2 lines intersection and 1 line not intersecting any of those lines....
please refer the pic. considering the square as the plane..these lines create 5 regions..right?
what am i missing in logic..please throw some light on this
thanks for quick response
One other note. It is impossible for infinite lines to not intersect unless those infinite lines overlap each other (or mathematically speaking they have the same slope, x and y intercept). So, again, to stress the infinite part of this, these lines are infinite and continue into eternity. If each line does not have the exact same linear formula, then they will intersect.winnerhere wrote:you are right. But what about
2 lines intersection and 1 line not intersecting any of those lines....
please refer the pic. considering the square as the plane..these lines create 5 regions..right?
what am i missing in logic..please throw some light on this
thanks for quick response
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