Can two lines in three-dimensional space have an intersection point if they are multiples of each other?
I just watched a video that confused me a bit about this.
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if the direction vectors of the straight lines are identical or a multiple of one another, then the straight lines are either identical or parallel. You can therefore not have a point of intersection (if they are identical, they have infinitely many common points)
I may misunderstand your question, but if one of them emerges from a multiplication with a factor, then the straight lines are identical and have infinitely many common points.
Shouldn’t you have to go into the direction vector here? If I multiply a whole straight line including the support vector with a factor !=+-1, do I get a really parallel straight line, don’t I?
From Directionsvectors is not a speech in the question. There is after my sentence confession that the Straight “Several from each other”. In this respect, the question for me is basically pointless.
😉 I really didn’t ask myself that question. If you set them up, you are right, then you inevitably come to the direction vector (but also to a further point of the straight line).
Yes, but when are straight lines often different? I do not think this is a point.