Well, technically two vectors can be contained in any of an infinite number of parallel planes. Vectors don''t have a position. You can assign a position to them, but that is another vector which is often trivial because it is the zero vector. Even when it isn''t the zero vector it often wouldn''t make any differance if it was the zero vector. Where it does make a differance you generally don''t give it much thought because it is the position of the object.

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Original post by Anonymous Poster
Maybe you''re visualizing lines (with two endpoints each) instead of vectors...?

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That was it. Thanks. Vectors originate from the same O, while lines are defined by two endpoints (each of whose positions are specified by vectors). Silly me.

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Thanks to Kylotan for the idea!