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The resultant of two vectors straight A with rightwards arrow on top space and space straight B with rightwards arrow on top is <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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#6 {main}</pre> and perpendicular to stack straight A. with rightwards arrow on top Show that straight B with rightwards arrow on top space equals space square root of 2 open vertical bar straight A with rightwards arrow on top close vertical bar.


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#6 {main}</pre> and space straight B with rightwards arrow on top be straight theta

Resultant of straight A with rightwards arrow on top space and space straight B with rightwards arrow on top is A.

Therefore,

                  straight A equals square root of straight A squared plus straight B squared plus 2 AB space cosθ end root

rightwards double arrow            space straight A squared equals straight A squared plus straight B squared plus 2 AB space cosθ

rightwards double arrow             straight B squared plus 2 ABcosθ space equals space 0
rightwards double arrow             straight B squared equals negative 2 straight A space straight B space cosθ              ...(1)

Also resultant is perpendicular to straight A with rightwards arrow on top.

∴              space tan 90 degree equals fraction numerator Bsinθ over denominator straight A plus Bcosθ end fraction

                straight A plus straight B space cosθ space equals space 0

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#6 {main}</pre>                ...(2)

From (1) and (2)

                 straight B squared equals 2 straight A squared

rightwards double arrow            space space space straight B equals left parenthesis square root of 2 right parenthesis straight A

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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.
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What is a scalar quantity?

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Give three examples of scalar quantities.

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