Vectors and Scalars

A scalar is a quantity with magnitude and..

• with direction

• with dimention

• without direction

Answer explanation

A scalar is defined as a quantity that has only magnitude and no direction. Therefore, the correct answer is 'without direction', distinguishing it from vectors, which have both magnitude and direction.

A vector is a quantity with magnitude and ..

• with dimention

• without direction

• with direction

Answer explanation

A vector is defined as a quantity that has both magnitude and direction. Therefore, the correct choice is 'with direction', as it emphasizes the essential characteristic that distinguishes vectors from scalars.

Which of these is NOT a vector quantity? 

• displacement 

• time

• velocity 

• pressure

Answer explanation

Time is a scalar quantity, representing duration without direction. In contrast, displacement, velocity, and pressure are vector quantities, as they have both magnitude and direction.

Which of these IS a scalar quantity? 

• temperature, 

• velocity,

• force, 

• displacement,

Answer explanation

Temperature is a scalar quantity as it has only magnitude and no direction. In contrast, velocity, force, and displacement are vector quantities, which have both magnitude and direction.

Which of these IS a vector quantity? 

• energy, 

• resistance,

• current,

• force,

Answer explanation

Force is a vector quantity because it has both magnitude and direction. In contrast, energy, resistance, and current are scalar quantities, which only have magnitude.

Which of these is NOT a scalar quantity? 

• work,

• volume,

• acceleration,

• current,

Answer explanation

Acceleration is a vector quantity, as it has both magnitude and direction. In contrast, work, volume, and current are scalar quantities, which only have magnitude.

How do scalars and vectors differ?

SELECT ALL THAT APPLY

• scalers have magnitude

  and direction

• vectors have magnitude

  but no direction

• scalers have magnitude

  but no direction

• vectors have magnitude

  and direction

Answer explanation

Scalars have magnitude but no direction, while vectors have both magnitude and direction. This distinction is crucial in physics and mathematics, making the correct choices: 'scalars have magnitude but no direction' and 'vectors have magnitude and direction'.

30 m/sec, East. Scalar or Vector

• Vector

• Scalar

• Neither

Answer explanation

The term '30 m/sec, East' includes both a magnitude (30 m/sec) and a direction (East). This combination defines it as a vector quantity, which is characterized by both size and direction, making 'Vector' the correct choice.

Distance is which of the following?

• Vector

• Scalar

• Neither

Answer explanation

Distance is a scalar quantity because it only has magnitude and no direction. Unlike vectors, which have both magnitude and direction, scalars are fully described by their size alone.

Displacement is which of the following?

• Vector

• Scalar

• Neither

Answer explanation

Displacement is a vector quantity because it has both magnitude and direction, distinguishing it from scalar quantities, which only have magnitude. Therefore, the correct answer is 'Vector'.