A zero vector is a vector that has a zero magnitude and no direction The components of a zero vector are all equal to 0 as it has zero length and it does not point in any direction. However, there is one important exception to vectors having a direction The zero vector, i.e., the unique vector having zero length With no length, the zero vector is not pointing in any particular direction, so it has an undefined direction. Zero vector is a vector that has zero magnitude and an arbitrary direction
It can be shown as 0 or 0⃗0 or 0 It is, to put it simply, a vector that does not move or alter a point’s. A zero vector, also known as a null vector, is a vector that has zero magnitude and an arbitrary direction It is represented as @$\begin {align*}\vec {0}\end {align*}@$ or simply 0. In physics, the zero vector signifies the absence of a vector quantity For example, in the context of forces, a zero vector indicates that no force is acting on an object
In essence, the null vector is one where the starting point (o) and the endpoint (o) are the same The null vector has no direction or orientation, and its magnitude (length) is exactly zero. In this article, we'll explore the properties of the zero vector and introduce inverse vectors (also called negative vectors), which are analogous to negative numbers in scalar arithmetic. Hence, a vector (sub)space containing a zero vector is equivalent (in the presence of the other axioms) to it containing any vector at all. It is defined as a vector in which all of its components are equal to zero.
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