Zero Vector
A zero vector is a special type of vector in mathematics and physics that has a magnitude of zero. It is represented as 0 in one-dimensional space or as a point with all components equal to zero in higher dimensions, such as 0, 0 in two-dimensional space. The zero vector is unique because it does not have a specific direction, making it a fundamental element in vector spaces.
In vector addition, the zero vector acts as the identity element, meaning that adding it to any vector does not change the original vector. For example, if you have a vector 3, 4 and add the zero vector 0, 0, the result remains 3, 4. This property is essential in various fields, including linear algebra and physics.