Find the angle between the vectors:  and  from Physics Motion in A Plane Class 11 Manipur Board
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Motion in A Plane

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Physics Part I

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Find the angle between the vectors: 
straight A with rightwards arrow on top equals straight i with hat on top plus space 2 straight j with hat on top minus straight k with hat on top space and straight B with rightwards arrow on top space equals space minus straight i with hat on top plus straight j with hat on top minus 2 straight k with hat on top


Angle between the vectors is given by, 

cos space theta space equals space fraction numerator A with rightwards harpoon with barb upwards on top space. space B with rightwards harpoon with barb upwards on top over denominator A B end fraction space

space space space space space space space space space space space equals fraction numerator space left parenthesis i with hat on top space plus space 2 j with hat on top space minus k with hat on top right parenthesis space. space left parenthesis negative i with hat on top space plus space j with hat on top space minus 2 k with hat on top right parenthesis over denominator 6 end fraction

space space space space space space space space space space space equals space fraction numerator negative 1 space plus space 2 space plus space 2 over denominator 6 end fraction space equals space 3 over 6 space equals space 1 half 

That is straight theta = cos-1 1 half
This implies, 

straight theta = 600

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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 scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
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Give three examples of vector quantities.

Force, impulse and momentum.
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Give three examples of scalar quantities.

Mass, temperature and energy
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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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