What are rectangular components of a vector? How will you resolve the rectangular components of a vector in a plane?

The resolved components of a vector are called rectangular components if they are mutually perpendicular to each other. Let us resolve the rectangular components of a vector

The resolved components of a vector are called rectangular components
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#6 {main}</pre> having same magnitude R. Find the direction of <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> with positive direction of X-axis.



Here,    open vertical bar straight A with rightwards arrow on top close vertical bar space equals space open vertical bar straight B with rightwards arrow on top close vertical bar space equals space open vertical bar straight C with rightwards arrow on top close vertical bar space equals space straight R

Here,    

Here,    

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Find the resultant of forces acting at a point:
(i)      200 square root of 2 space straight N  along NE
(ii)     space 500 square root of 2 space straight N  along NW
(iii)      800 N along south.

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#6 {main}</pre> along NE

Here,    along NE

Here,    along NE



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Resolve the rectangular components of a vector in three dimensions?


Let us resolve the rectangular components of a vector straight R with rightwards arrow on top represented by <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> in three dimensions. From P, draw a perpendicular PM on XY plane and from M draw a perpendicular PM on XY plane and from M draw perpendicular ML on Y axis and MK on X axis. Using triangle law to increment OKM comma
               
Let us resolve the rectangular components of a vector  represented

Let us resolve the rectangular components of a vector  represented

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Two billiard balls are rolling on a flat table. One has velocity components straight v subscript straight x 1 end subscript equals 1 straight m divided by straight s semicolon space straight v subscript straight y 1 end subscript space equals space square root of 3 space straight m divided by straight s  and other has velocity components  straight v subscript straight x 2 end subscript equals 2 space straight m divided by straight s semicolon space space space straight v subscript straight y subscript 2 end subscript space equals space 2 space straight m divided by straight s. If both the balls start moving from the same point, then what is the angle between their paths?


Let   and  be the angles that the two balls make with X-axis.

Given, the velocity components of first ball are, 

 

 

Therefore, angle is given by, 

               

               

The velocity components of second ball are,

 ,



∴ angle is given by,  

                   

                       

The angle between the paths of two ball is equal to the angle between their velocity vectors.

∴  The angle between the paths of two balls is,

                  

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