﻿ Show that if two adjacent sides of parallelogram represent the two vectors, then area of the parallelogram is equal to magnitude of the cross product of two vectors.  from Physics Motion in A Plane Class 11 Manipur Board

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Show that if two adjacent sides of parallelogram represent the two vectors, then area of the parallelogram is equal to magnitude of the cross product of two vectors.

As shwn in the fig., et PQRS be a parallelogram formed by vectors .

From the figure,

Area of parallelogram PQRS is given by,

S = PQ. RN

=

Hence the result.

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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 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 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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