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## Vector Quantity Examples

**VECTOR QUANTITY EXAMPLES**

Before you read any further it might be a good idea to read about What are Vector Quantities.

Recommended Read: What are Vector Quantities?

**In Brief**

- Vector Quantities are those quantities that have magnitude as well as direction.
**For example Velocity, acceleration, displacement, force, momentum, etc.**

### Examples

Here are some examples of vector quantity.

**Displacement****Velocity****Acceleration****Force****Momentum****Torque****Electric field****Angular Displacement****Wave Vector****Current density****Drag****Impulse****Magnetic field****Magnetic Flux****Gravitational field****Angular velocity****Angular acceleration****Angular momentum**

## vector quantity examples explained

### Vector Quantity List

**Following are list of vector quantity examples:**

**Displacement**

- The change in the position of a moving body in a particular direction is called its displacement or the shortest distance between the final and the initial positions of a body are called displacement. It is generally denoted by D or X. Displacement is a vector quantity.
- For example – If an object moves from A position to B, then the object’s position changes.

**Velocity**

- The distance traveled by a body in a particular direction in unit time is called its velocity. velocity is a vector quantity mark.
**SI unit for velocity is meter per second (m/s).****For example**, the speed of a car traveling north on a highway, or the speed a rocket travels after launching.

**Acceleration**

- The time rate of change of velocity of a body is called acceleration.
- Acceleration = Change in Velocity / Time taken
**SI unit for accleretaion is meter per second square (m/s**^{2}).**For example**, the speed of a car traveling**north**on a highway, or the speed a rocket travels after launching.

**Force**

- Force is a push or pull that changes or tends to change the state of rest or of uniform motion, the direction of motion, or the shape and size of a body.
**Force is a vector quantity.**- The SI unit of force is Newton. It is denoted by N.
**For example, a force of 5 Newton may be described as 5 N.**

**Momentum**

- The product of the mass of a body and its velocity is called the momentum of the body
**It is generally denoted by ‘****p’.**- SI unit of momentum will be
**kgm/s**.^{-1}

**Torque**

- Torque measures the force that can cause an object to rotate about an axis.
**Torque is commonly denoted with a capital “T”. It is spelled as (****tau).**- SI unit of torque is
**newton meter**(Nm)

**Electric field**

- The electric field is the ratio of
**force per unit charge**. Since force is a vector quantity, the electric field is also a vector quantity.**It is denoted by ‘E’.** - The SI unit of the electric field is
**volts per meter (V/m)**. **Electric Field (E) = Force(F) / charge(q)**, where E is the strength of the electric field, F is the electric force, and q is the test charge that is being used to “feel” the electric field.

**Angular Displacement**

- The angle subtended at the center of a circle by the initial and final positions of a body moving along the circumference of a circle is called angular displacement of the body
*.* **The angular displacement is denoted by radian (θ).**

**Wave Vector**

- A wave vector (also spelled wavevector) is a vector that helps describe a wave. Like any vector, it has a magnitude and direction.

**Current Density**

- Current density is a vector quantity having both a direction and a scalar magnitude.
- The current density vector is defined as a vector whose magnitude is the electric current per cross-sectional area at a given point in space, its direction being that of the motion of the positive charges at this point.
**It is denoted by the letter ‘J’.**-
**J = I / A**, where, I denote the current flowing through the conductor in**Amperes**, A represents the cross-section area in**m**Current density is expressed in^{2}**A/m**^{2}

**Drag**

- Drag is a force and is, therefore,
**a vector quantity having both a magnitude and a direction.**

**Impulse**

- The force that acts on a body for a short time but produces a large change in the body’s momentum is called an impulsive force. It is a vector quantity.
- The impulse of a force acting on a body is equal to the product of the force and the time for which it acts on a body.
**Impulse = Force × time.**- SI unit of impulse is
**newton-second**kg-m/s.

**Magnetic Field**

- Any object experiences forces when placed in a magnetic field. Like a vector quantity, a magnetic field is described with magnitude and direction. Thus the magnetic field is a vector quantity.

**Magnetic Flux**

- Magnetic flux depends on two quantities –
**Magnetic field and Area.**Both of these components are vector quantities. - SI unit of magnetic flux is
**weber(Wb)**. it is a vector quantity.

**Gravitational Field**

- As gravitational field strength
**consists of force, and as force is a vector quantity**, it naturally makes it a vector quantity. **The gravitational force or the weight acting on a mass m, in the gravitational field 𝑔, is given by: 𝐹 = m𝑔.**

**Angular Velocity**

- The rate of change of the
**angular displacement (θ) with time (t)**is called angular velocity. **It is denoted by the Greek letter ω, sometimes Ω (omega).**- The unit of Angular Velocity (
**ω**) is**radian per second (rad/s or rad s**^{-1}) **For example**, a roulette ball on a**roulette wheel**, a race car on a circular path.

**Angular Acceleration**

- The rate of change of angular velocity is called angular acceleration. It is a vector quantity.
**Angular Acceleration is denoted by alpha (α).**- The formula for
**Angular acceleration (α) = Angular Velocity (ω) / Time (t)** - SI unit of angular acceleration is radians per second squared (rad s
^{-2}).

**Angular Momentum**

- Angular momentum is a vector quantity because it is equivalent to linear momentum (i.e. dependent upon both direction and magnitude).
**Angular Momentum is denoted by ‘L’.****Angular Momentum(L) = mass(m) * velocity(v) * radius(r).**

**Recommended Read: 30 Examples of Vector Quantities**

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