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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
bold A with bold rightwards arrow on top bold space and bold space bold B with bold rightwards arrow on top are two vectors and θ is the angle between them if vertical line bold A with bold rightwards arrow on top bold space straight x bold space bold B with bold rightwards arrow on top bold vertical line bold space equals bold space square root of bold 3 bold space bold left parenthesis bold A with bold rightwards arrow on top bold. bold B with bold rightwards arrow on top bold right parenthesis the value of θ is:
  • 60o

  • 45o

  • 30o

  • 90o


A.

60o

bold A with bold rightwards arrow on top bold space bold x bold space bold B with bold rightwards arrow on top bold space equals space AB space sin space space and space stack bold A bold. with bold rightwards arrow on top bold B with bold rightwards arrow on top bold space equals space AB space cos space straight theta.
Given comma space vertical line bold A with bold rightwards arrow on top bold space bold x bold space bold B with bold rightwards arrow on top vertical line space equals space square root of 3 open parentheses stack bold A bold. with bold rightwards arrow on top bold B with bold rightwards arrow on top bold space close parentheses
rightwards double arrow space AB space sin space space straight theta space equals square root of 3 space AB space cos space space straight theta
tan space equals space square root of 3
space straight theta space equals space 60 to the power of 0
bold A with bold rightwards arrow on top bold space bold x bold space bold B with bold rightwards arrow on top bold space equals space AB space sin space space and space stack bold A bold. with bold rightwards arrow on top bold B with bold rightwards arrow on top bold space equals space AB space cos space straight theta.
Given comma space vertical line bold A with bold rightwards arrow on top bold space bold x bold space bold B with bold rightwards arrow on top vertical line space equals space square root of 3 open parentheses stack bold A bold. with bold rightwards arrow on top bold B with bold rightwards arrow on top bold space close parentheses
rightwards double arrow space AB space sin space space straight theta space equals square root of 3 space AB space cos space space straight theta
tan space equals space square root of 3
space straight theta space equals space 60 to the power of 0
838 Views

Give three examples of scalar quantities.

Mass, temperature and energy
769 Views

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

What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
1212 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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