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Physics

Differentiate between scalar and vector quantities, giving two examples of each.

Motion in One Dimension

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Answer

Differences between scalar and vector quantities are as follows —

Scalar QuantityVector Quantity
These are physical quantities which are expressed only by their magnitude.These physical quantities require magnitude as well as the direction to express them, then only their meaning is complete.
We need two parameters to express a scalar quantity.We require three parameters to express a vector quantity.
The parameters are:
(i) unit in which the quantity is being measured
(ii) numerical value of the measured quantity.
The parameters are:
(i) unit
(ii) direction
(iii) numerical value of quantity.
Scalar quantities can be added, subtracted, multiplied and divided by simple arithmetic methods.Vector quantities follow different algebra for their addition, subtraction, multiplication and division.
Example:
(i) If we say, mass of a body is 5 kg, it has a complete meaning and we are completely expressing the mass of the body.
(ii) mass, length, time, etc.
Example:
(i) A body is displaced by 5 metre towards east, then it has a complete meaning.
(ii) velocity, acceleration, force, etc.

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