Show that  is perpendicular to . from Physics Motion in A Plane Class 11 Manipur Board
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The dot product of two perpendiculars vectors is zero.

Therefore, to prove straight A with rightwards arrow on top cross times straight B with rightwards arrow on top to be perpendicular to space straight A with rightwards arrow on top comma we have to prove space space space space left parenthesis straight A with rightwards arrow on top cross times straight B with rightwards arrow on top right parenthesis space times space straight A with rightwards arrow on top 

So, 

left parenthesis straight A with rightwards harpoon with barb upwards on top space cross times space straight B with rightwards harpoon with barb upwards on top right parenthesis. space straight A with rightwards harpoon with barb upwards on top space equals space open parentheses straight A with rightwards harpoon with barb upwards on top space cross times stack space straight A with rightwards harpoon with barb upwards on top close parentheses. space straight B with rightwards arrow on top space equals space 0 space. space straight B with rightwards harpoon with barb upwards on top space equals space 0

straight i. straight e. comma space open parentheses straight A with rightwards harpoon with barb upwards on top cross times straight B with rightwards harpoon with barb upwards on top close parentheses space perpendicular space straight A with rightwards harpoon with barb upwards on top 

Hence, the result. 

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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 vector quantities.

Force, impulse and momentum.
865 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

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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