Question

define any four types of vector with example

Answer 1

Types of Vectors

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 0⃗ . 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 AA→, 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 a⃗  is denoted as a^.

Coinitial Vectors

Coinitial vectors are two or more vectors which have the same initial point. For example, AB→ and 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 a⃗  and b⃗  have the same magnitude and direction regardless of the positions of their initial points, then they are Equal vectors. These vectors are written as a⃗ = b⃗ .

Negative of a Vector

Let’s say that there is a vector AB→ having a certain magnitude and direction. Now, if there is a vector whose magnitude is same as that of vector AB→ but the direction is opposite, then it is called negative of the given vector AB→. For example, vector BA→is the negative of vector AB→. It is written as BA→ = – AB→.

Answer 2

Answer:

There are 10 different types of vectors that are generally used in maths and science. To recall, vectors are the physical quantities which have magnitude as well as direction.

Types of Vectors List

There are 10 types of vectors in mathematics which are:

• Zero Vector
• Unit Vector
• Position Vector
• Co-initial Vector
• Like and Unlike Vectors
• Co-planar Vector
• Collinear Vector
• Equal Vector
• Displacement Vector
• Negative of a Vector