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如何求一个向量在一组基下的坐标?

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如何求一个向量在一组基下的坐标?
A vector is to represent a data point [x1,x2,x2...xn], with an origin [0,0,0...,0]. If we want to represent it with another original, say [o1,o2,o3...,on], then [x1-o1,x2-o2..] would be the result.
You need to understand the vector more clearly. It is not a directional-line in a space.