A zero vector has
A. Any direction
B. No direction
C. Many direction
D. None of these
Answer
631.2k+ views
Hint: A zero vector which is commonly known as the null vector, is a vector of length $0$
Complete step by step solution:
Vector: A vector is an element of a vector space, in mathematics and physics. The vectors have obtained special names for several particular vector spaces, which are described below. Historically before the formalization of the definition of vector space, vectors were used in geometry and physics.
Zero vector: A zero vector is a vector of length $0$, and thus has all components equal to zero. It is the additive identity of the additive group of vectors.
Therefore, a zero vector has no direction.
Additional information:
Basis vector: Part of a vector space centered on a given base.
Unit vector: A vector in a regular vector space, the norm of which is $1$, or a Euclidean long vector.
Isotropic vector or null vector: In a quadratic-shaped vector space, a non-zero vector for which the form is zero. If there is a null vector, so an isotropic quadratic form is called the quadratic form.
A vector field is a vector-evaluated function that usually has a domain of the same dimension as its codomain (as a manifold).
Note: In mathematics and physics a vector is an element of a vector space. A zero vector is a vector of length $0$, and thus has all components equal to zero. It is the additive identity of the additive group of vectors.
Complete step by step solution:
Vector: A vector is an element of a vector space, in mathematics and physics. The vectors have obtained special names for several particular vector spaces, which are described below. Historically before the formalization of the definition of vector space, vectors were used in geometry and physics.
Zero vector: A zero vector is a vector of length $0$, and thus has all components equal to zero. It is the additive identity of the additive group of vectors.
Therefore, a zero vector has no direction.
Additional information:
Basis vector: Part of a vector space centered on a given base.
Unit vector: A vector in a regular vector space, the norm of which is $1$, or a Euclidean long vector.
Isotropic vector or null vector: In a quadratic-shaped vector space, a non-zero vector for which the form is zero. If there is a null vector, so an isotropic quadratic form is called the quadratic form.
A vector field is a vector-evaluated function that usually has a domain of the same dimension as its codomain (as a manifold).
Note: In mathematics and physics a vector is an element of a vector space. A zero vector is a vector of length $0$, and thus has all components equal to zero. It is the additive identity of the additive group of vectors.
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