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Motion in A Plane

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Physics Part I

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Physics

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Class 10 Class 12

If space space straight R with rightwards arrow on top equals straight A with rightwards arrow on top plus straight B with rightwards arrow on top  and open vertical bar straight R with rightwards arrow on top close vertical bar space equals space open vertical bar straight A with rightwards arrow on top close vertical bar space equals space open vertical bar straight B with rightwards arrow on top close vertical bar then what is the angle between straight A with rightwards arrow on top space and space straight B with rightwards arrow on top ?


Let straight theta be the angle between straight A with rightwards arrow on top space and space straight B with rightwards arrow on top. 

∴ Resultant is given by,

open vertical bar straight R with rightwards arrow on top close vertical bar space equals space open vertical bar straight A with rightwards arrow on top plus straight B with rightwards arrow on top close vertical bar space equals space square root of straight A squared plus straight B squared plus 2 AB thin space cosθ end root 

straight R squared space equals space straight A squared plus straight B squared plus 2 AB space cosθ 

Hence, R = A = B

Thus, straight A squared equals straight A squared plus straight A squared plus 2 straight A squared cosθ 
     
rightwards double arrow  cosθ equals negative 1 half

rightwards double arrow      straight theta equals 120 degree, is the required angle between them. 

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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 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.
1212 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 Views

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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