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Work, Energy And Power

Question
CBSEENPH11017140

Find the work done by force F with rightwards arrow on top space equals space left parenthesis 3 i with hat on top space minus space 2 j with hat on top space plus space k with hat on top right parenthesis straight N in displacing a body of mass 3 kg from straight A left right arrow left parenthesis negative 2 comma space minus 1 comma space 0 right parenthesis space space to space space straight B left right arrow left parenthesis 1 comma space 2 comma space 3 right parenthesis.

Solution

Given,
Force acting on the body, space space F with rightwards arrow on top equals left parenthesis 3 i with hat on top minus 2 j with hat on top plus k with hat on top right parenthesis straight N
Position space of space straight A space is space given space by comma space straight A left right arrow left parenthesis negative 2 comma space minus 1 comma space 0 right parenthesis

Position space of space straight B space is space given space by comma space straight B left right arrow left parenthesis 1 comma space 2 comma space 3 right parenthesis 
The displacement of particle is,
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#1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493)
#2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs()
#3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...')
#4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array)
#5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array)
#6 {main}</pre> 
Work done by force is, 
                     W equals F with rightwards arrow on top times S with rightwards arrow on top
                        equals space left parenthesis 3 i with hat on top minus 2 j with hat on top plus k with hat on top right parenthesis times left parenthesis 3 i with hat on top plus 3 j with hat on top plus 3 k with hat on top right parenthesis
                         = 6J