We know that dot product of two perpendiculars vectors is zero. Therefore to prove to be perpendicular to we have to prove
134 Views
Advertisement
Define cross product of two vectors. Show that cross product of two vectors anti commute.
Cross product of two vectors is a vector whose magnitude is equal to product of the magnitude of each vector and sine of angle between them and is directed along the normal to the plane containing two vectors.
179 Views
What are the characteristics of cross product?
Characteristics of cross product are:
(i) Cross product of two vectors is anti commutative.
That is,
(ii) Cross product is distributive,
That is,
(iii)Cross product of two parallel vectors is zero.
That is,
if
(iv) Cross product of two vectors is equal to the area of parallelogram formed by two vectors.
(v) Area of triangle formed by two vectors and their resultant is equal to half the magnitude of cross product.
be two vectors acting
represent the sides of triangle as shown in the figure.
if 
is perpendicular to ![<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)
#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>](/application/zrc/images/qvar/PHEN11039474-1.png)
.
to be perpendicular to 
we have to prove 
Switch
