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Class 10 Class 12

A river d km wide is flowing at rate  A swimmer who can swim with velocity  relative to water wants to cross the river straight across. How long will he take to cross the river?

Width of the river = d km

Rate of flow of river = v1 m/s

Rate at which the swimmer is swimming = v2 m/s

So, time taken by the man to cross the river is,

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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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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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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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Give three examples of vector quantities.

Force, impulse and momentum.
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