Linear dependence: Difference between revisions
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Basis vector sets would be considered ''collinear'' if, not only were they linearly dependent, every vector able to be formed from any of their basis vectors can all be reduced to ''single'' basis vector. This would mean that literally every formable vector in any of the basis vector sets would fall along the same geometric line. So this is the same as the notion of collinearity in geometry, where three or more points found on the same line are said to be collinear, which also works for a set of lines or line segments being along the same line. And in geometrical terms, a vector could be considered to be a directed line segment. | Basis vector sets would be considered ''collinear'' if, not only were they linearly dependent, every vector able to be formed from any of their basis vectors can all be reduced to ''single'' basis vector. This would mean that literally every formable vector in any of the basis vector sets would fall along the same geometric line. So this is the same as the notion of collinearity in geometry, where three or more points found on the same line are said to be collinear, which also works for a set of lines or line segments being along the same line. And in geometrical terms, a vector could be considered to be a directed line segment. | ||
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[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Terms]] | [[Category:Terms]] | ||
[[Category:Math]] | [[Category:Math]] | ||