ï»¿ State the properties of vector addition. from Physics Motion in A Plane Class 11 Manipur Board

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State the properties of vector addition.

The properties of vector addition are:Â

(i) A vector can be added only to a vector.Â

(ii)Â Closure property of addition:Â The sum of two vectors is also a vector. Hence, vectors are closed under addition.

Â
i.e.Â

Â
i.e.
Â

i.e.Â
Â

(vi)Â Magnitude of the resultant of two vectors is less or equal to the sum of the magnitude of two vectors and greater or equal to the magnitude of the difference of the magnitude of two vectors.Â

i.e.Â

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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 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 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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