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I can visually imagine this happening in the 3-space, but I may be wrong. I was just wondering, because this allows one to define an angle between two lines in 3-space if I remember correctly.

What about in an n-space? Must two lines form a plane in an n-space?

I imagine that in the same way two points define a line in n-space, two lines can define a plane in n-space, but because of my limited knowledge of linear algebra, I can't prove this.

But I'm hoping to learn, perhaps someone can offer me their insights.

BiP