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Motion in A Plane

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Physics Part I

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Physics

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12
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 straight A with rightwards arrow on top space and space straight B with rightwards arrow on top.

               
From the figure,

Area of parallelogram PQRS is given by, 

                S = PQ. RN 

                   = PQ. space PR space sinθ space equals space straight A space straight B space sinθ 

                 space space equals open vertical bar straight A with rightwards arrow on top cross times straight B with rightwards arrow on top close vertical bar 

Hence the result.

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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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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 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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Give three examples of scalar quantities.

Mass, temperature and energy
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