Information AboutZero Vector |
| CATEGORIES ABOUT NULL VECTOR | |
| linear algebra | |
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In Linear Algebra , the null vector or '''zero vector''' is the Vector (0, 0, …, 0) in Euclidean Space , all of whose components are zero. It is usually written or '''0''' or simply 0. For a general Vector Space , the null vector is the uniquely determined vector that is the Identity Element for Vector Addition . ''The'' zero vector is unique; if ''a'' and ''b'' are zero vectors, then a = a + b = b. The zero vector is a special case of the Zero Tensor . It is the result of Scalar Multiplication by the scalar 0. The Preimage of the zero vector under a Linear Transformation ''f'' is called Kernel or Null Space . A Zero Space is a Linear Space whose only element is a zero vector. |
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