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Class 10 Class 12

A river d km wide is flowing at rate  A swimmer which can swim with velocity  relative to water, dives into the river perpendicular to the direction of flow to cross the river. What is the displacement of swimmer when he reaches opposite side of the river?

Width if the river = d km

Rate of flow of river = v1 m/s

Rate of flow of swimmer = v2 m/s

Given that, the swimmer is diving in a direction perpendicular to the flow of river, to cross the river.

Therefore, the displacement of the swimmer when he reaches the opposite side of the river is given by,

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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
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What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors.

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Give three examples of vector quantities.

Force, impulse and momentum.
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Give three examples of scalar quantities.

Mass, temperature and energy
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What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
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