explain any four types of vector
Answers
Answer:
null vector, Co-planner vector, unit vector, and, position vector
Answer:
Zero Vector
We know that all vectors have initial and terminal points. A Zero vector or a null vector is one in which these two points coincide. It is denoted as \vec{0} . Since the magnitude is zero, we cannot assign a direction to these vectors. Alternatively, zero vectors can have any direction. Some examples of zero vectors are \vec{AA} , \vec{BB} , etc
Unit Vector
A Unit vector is a vector having a magnitude of unity or 1 unit. A unit vector in the direction of a given vector \vec{a} is denoted as \hat{a} .
Coinitial Vectors
Coinitial vectors are two or more vectors which have the same initial point. For example, \vec{AB} and \vec{AC} are coinitial vectors since they have the same initial point ‘A’.
Collinear Vectors
Collinear vectors are two or more vectors which are parallel to the same line irrespective of their magnitudes and direction.
Equal Vectors
If two vectors \vec{a} and \vec{b} have the same magnitude and direction regardless of the positions of their initial points, then they are Equal vectors. These vectors are written as \vec{a} = \vec{b} .
Negative of a Vector
Let’s say that there is a vector \vec{AB} having a certain magnitude and direction. Now, if there is a vector whose magnitude is same as that of vector \vec{AB} but the direction is opposite, then it is called negative of the given vector \vec{AB} . For example, vector \vec{BA} is the negative of vector \vec{AB} . It is written as \vec{BA} = – \vec{AB} .
Important Note: In this article, we will be talking only about free vectors. Free vectors are ones which can be subjected to parallel displacements without changing their magnitudes and direction.