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# Types of Vectors

#### description

Zero Vector, Unit Vector, Coinitial Vectors, Collinear Vectors, Equal Vectors, Negative of a Vector (Free Vector)

#### notes

Zero Vector: A vector whose initial and terminal points coincide, is called a zero vector (or null vector), and denoted as vec 0 . Zero vector can not be assigned a definite direction as it has zero magnitude. Or, alternatively otherwise, it may be regarded as having any direction. The vectors vec ("AA") , vec (BB) represent the zero vector,

Unit Vector: A vector whose magnitude is unity (i.e., 1 unit) is called a unit vector. The unit vector in the direction of a given vector vec a is denoted by hat a.

Coinitial Vectors: Two or more vectors having the same initial point are called coinitial vectors.

Collinear Vectors: Two or more vectors are said to be collinear if they are parallel to the same line, irrespective of their magnitudes and directions.

Equal Vectors: Two vectors  are said to be equal, if they have the same magnitude and direction regardless of the positions of their initial points, and written as vec a =vec b.

Negative of a Vector: A vector whose magnitude is the same as that of a given vector , but  direction is opposite to that of it, is called negative of the given vector.
For example, vector vec (BA)  is negative of the vector vec (AB) , and written as vec (BA) = - vec (AB).
Remark: The vectors defined above are such that any of them may be subject to its parallel displacement without changing its magnitude and direction. Such vectors are called free vectors.

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Types of Vectors [00:23:57]
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