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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 straight A with rightwards arrow on top space and space straight B with rightwards arrow on top are orthogonal , then prove that 
                  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 end root


Magnitude of resultant of two vectors straight A with rightwards arrow on top space and space straight B with rightwards arrow on top acting at angle straight theta is given by, 

              space 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 ABcosθ end root 

Here, straight A with rightwards arrow on top space and space straight B with rightwards arrow on top are orthogonal, therefore straight theta equals 90 degree 

Therefore, 

            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 ABcos 90 degree end root 

                      equals square root of straight A squared plus straight B squared end root 

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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 vector quantity?

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

Give three examples of scalar quantities.

Mass, temperature and energy
769 Views

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