Define scalars and vectors. Give two examples of each.

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Solution

Scalars are the physical quantities that have the only magnitude.

The examples of scalars are electric charge, density, mass etc.

Vectors are the physical quantities that have both magnitudes as well as direction.

The examples of vectors are velocity, acceleration, force etc.

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Three statements about scalars and vectors:

I. Vectors having different units cannot be multiplied with each other.

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III. The multiplication of a scalar with a vector can give a scalar quantity.

Among the given statements,

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