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# Types of Vectors

## 1. Zero or Null Vector

A vector whose initial and terminal points coincide, is called a zero vector.

It is also known as null vectors and denoted by O or $\vec{0}$.

Zero vector can not be assigned definite direction because it has zero magnitude.

The vectors other than zero vector are proper vectors or non zero vectors.

Vectors $\vec{A A}, \vec{B B}$ are the examples of zero vector.

## 2. Unit Vector

A vector whose magnitude is one is called unit vector.

A unit vector in the direction of a given vector $\vec{a}$ is denoted as $\hat{a}$ which reads "a hat".

## 3. Co-initial Vector

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

## 4. Collinear Vector

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

## 5. Coplanar Vector The vectors which lies in the same plane are called coplanar vectors.

## 6. Concurrent Vectors The vectors which pass through the common point are called concurrent vectors.

## 7. Equal Vector

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 $\vec{a}=\vec{b}$

## 8. Negative of a Vector A vector which has the same magnitude as the vector a but opposite in direction to vector a is called the negative to the vector a .

And written as $-\vec{a}$ .

## 9. Position Vector

If vector OA is used to specify the position of a point A relative to another point O. This OA is called the position vector of A .

And O is called the origin.