ï»¿ Find the magnitude and direction of resultant of two vectors without using the parallelogram of vector addition. from Physics Motion in A Plane Class 11 Manipur Board

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Find the magnitude and direction of resultant of two vectors without using the parallelogram of vector addition.

LetÂ Â be two vectors acting at angleÂ .

Â is the resultant ofÂ .Â

Therefore,Â Â

Let, the resultantÂ Â make angleÂ Â withÂ .

Also,Â

Thus, for two vectors acting in the same direction, the magnitude of the resultant vector is equal to the sum of the magnitude of two vectors and acts along the direction ofÂ

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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.Â

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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 scalar quantities.

Mass, temperature and energy
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Give three examples of vector quantities.

Force, impulse and momentum.
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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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