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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 a triangle represent the two vectors, then area of the triangle is equal to half of the magnitude of the cross product of two vectors.

Let PQR be triangle formed by vectors straight A with rightwards arrow on top space and space straight B with rightwards arrow on top shown in figure.
                 
                     
From figure, the area of increment PQR is,

          straight S equals 1 half PQ. RN
space space equals 1 half PQ. PR space sinθ

          space space equals 1 half ABsinθ
space equals space 1 half open vertical bar straight A with rightwards arrow on top cross times straight B with rightwards arrow on top close vertical bar 

             

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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.
1212 Views

Give three examples of scalar quantities.

Mass, temperature and energy
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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 vector quantities.

Force, impulse and momentum.
865 Views

What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
835 Views