The vector [0,0,0] is classified as the zero vector in R3, which is a three-dimensional vector space. Despite having three components, the zero vector is considered to have a dimension of 1 in the context of vector spaces. Therefore, while it exists in R3, its dimensionality is defined by the vector space it belongs to, which is 1-dimensional for the zero vector.
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No, this is a vector in R, which can be considered a vector space of dimension 1. Every vector in this space, including the zero vector, has a dimension of 1.Jacob959 said:What dimension is the vector [0,0,0] in? For example, I know that vector [o] is in dimension zero
Jacob959 said:, but would [0,0,0] be in that too? Or, is it classified as being in R3 since there are three components?