Which one of the following is not the property of a vector quantity

  1. It has both magnitude and direction
  2. It can be resolved in any direction
  3. It is only one dimensional
  4. It is used to represent the motion of an object

Answer (Detailed Solution Below)

Option 3 : It is only one dimensional

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10 Questions 10 Marks 10 Mins

Explanation:

All measurable quantities are divided into two broad categories:

Scalar quantities

Vector quantities

The physical quantities which have only magnitude and no direction are called scalar quantities or scalars.

The physical quantities which have both magnitude and direction and obey the laws of vector addition are called vector quantities or vectors.

scalar quantity can be specified by a single numberalong with the proper unit.

vector quantity is specified by a number with a unit and its direction.

Examples: Mass, volume, density, time, temperature, electric current, distance, Energy, speed, etc.

Examples Displacement, velocity, force, weight, torque, momentum, acceleration, velocity, etc.

As it is mentioned in one of the option that ( It is one dimensional ) It is incorrect regarding Vector Quantity.

Which one of the following is not the property of a vector quantity

Which one of the following is not the property of a vector quantity

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Which of the following is not a vector quantity?A.)DistanceB.)DisplacementC.)AccelerationD.)Velocity

Answer

Verified

Hint: Here in the question there is a mention of the vector quantity, so we have to know about the vector quantities. Vector quantities are the physical quantities which has both direction and magnitude. For example-velocity- velocity is having both magnitude and its direction too.

Complete answer:
So here in the given option we will check for each quantity whether it is a vector or scalar quantity, that means we will check whether the quantity is having direction and the magnitude or not.
So, in the option (A) we have distance which is having only magnitude and no direction. So, distance is not a vector quantity,
In option (B) we have displacement which is having both magnitude and direction. So, the displacement is a vector quantity.
In option (C) we have acceleration which is also having magnitude and direction both. So, the acceleration is also a vector quantity.
In option (D) we have velocity which is also a vector quantity since it is having both magnitude and the direction.
So, in the given options we see that only distance is the quantity which is not a vector quantity among all the four given quantities.

So, the correct answer is “Option A”.

Note:
Differences between scalar and the vector quantity can be summarised as follows,

S.No. Scalar quantity Vector quantity
1. Scalar quantity is having only magnitude but no direction. Vector quantity is the physical quantity having both magnitude and direction.
2. Scalar quantity cannot be resolved since it will be having the same value regardless of direction. Vector quantity can be resolved in any direction by the application of the sine and cosine trigonometric ratios.
3. Scalar quantity is only one dimensional. Vector quantity can be 1-D, 2-D, and 3-D.
4. Any change in the scalar quantity is a reflection of the change in the magnitude. Here the change of quantity will be the result of both magnitude and direction.
5. Example- length, density, energy, mass, etc. Example- velocity, acceleration, force, displacement, etc.


Which of the following is not a property of vector quantity?

Distance is the quantity which is not vector.

What are the properties of a vector quantity?

vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity's magnitude. Although a vector has magnitude and direction, it does not have position.

Which of the following quantities is not a vector?

So, in the given options we see that only distance is the quantity which is not a vector quantity among all the four given quantities.

Which one of the following is a vector property?

Momentum , p→=mv→ acts in the direction of applied velocity, a vector, hence momentum requires both magnitude & direction to be fully described making it a vector.