3 ms·
If you’re talking Euclidian geometry of infinite lines on a plane definitely yes. If you’re talking about vectors then you need an additional concept to capture
by seanhunter 2y ago
If you’re talking Euclidian geometry of infinite lines on a plane definitely yes. If you’re talking about vectors then you need an additional concept to capture the way the case of two vectors which fall on lines which in the Euclidian sense are parallel but point in opposite directions is clearly different from two vectors which point in the same direction also. This is like the difference between cars in parallel lanes on one side of a multi-lane highway and the oncoming traffic which would be antiparallel.