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Q.

Is volume a vector quantity?

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Detailed Solution

Volume is not a vector quantity; it is a scalar quantity because it only has magnitude and no direction.

In physics, a scalar quantity is one that is described completely by a numerical value and unit but has no specific direction. Volume tells us the amount of space occupied by an object or substance. For example, a box may have a volume of 2 cubic meters, which explains the size of space it takes up but does not say anything about direction. A vector, on the other hand, has both magnitude and direction, like force, velocity, or acceleration.

Why volume is scalar

  • It measures space, not direction.
  • It is always positive.
  • Units of volume are cubic meters (m³), liters (L), or cubic centimeters (cm³).

Examples of scalar vs vector

Scalar QuantitiesVector Quantities
MassForce
TimeVelocity
VolumeDisplacement

Hence, volume is a scalar quantity because it does not include any directional property.

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