﻿ State and prove associative law for vector addition. from Physics Motion in A Plane Class 11 Manipur Board

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State and prove associative law for vector addition.

The associative law of vector states that the vector addition is same, in whatever grouping they are added. Proof: Let there be three vectors . These three vectors, both magnitude and direction are represented by three vectors of polygon OLKG.

Now, using polygon law of vector addition, the resultant of the vector will be represented by the closing side of the polygon Join O with K, L and G.

Now, applying triangle law to , we have Now, in , we have Now, applying the triangle law of vector addition to we have For triangle OLG, we get Now, from equations (1) and (2), we get Therefore, the vector addition is assosciative.

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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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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 vector quantities.

Force, impulse and momentum.
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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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