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Motion in A Plane

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Class 10 Class 12
If one of the rectangular components of a velocity of 36m/s has magnitude 26 m/s, then what is the magnitude of other rectangular component of velocity?

If straight v subscript 1 space and space straight v subscript 2 are the magnitudes of rectangular components of velocity vector of magnitude v, then

                   straight v squared equals straight v subscript 1 squared plus straight v subscript 2 squared

Given,

              straight v equals 36 space straight m divided by straight s  and      straight v subscript 1 equals 26 space straight m divided by straight s

∴              straight v subscript 2 squared space equals space straight v squared minus straight v subscript 1 squared
space space space space space space equals space left parenthesis 36 right parenthesis squared minus left parenthesis 26 right parenthesis squared 

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That is,

               straight v subscript 2 equals 24.9 space straight m divided by straight s, is the magnitude of other rectangular component of velocity. 

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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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