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    Motion in A Plane
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    State triangular law and parallelogram law of vector addition.
    Triangle law of vector addition: If two vectors are represented in magnitude and direction by the two sides of a triangle taken in same order then their resultant is represented completely in magnitude and direction by the third side of the triangle taken in the opposite order.
    Triangle law of vector addition: If two vectors are represented in ma
    Let us find the resultant of two vectors straight A with rightwards arrow on top space and space straight B with rightwards arrow on top shown in figure. Move space straight B with rightwards arrow on top parallel to itself so that tail of it coincides with head of straight A with rightwards arrow on top. Represent vector <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> by side <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> and space straight B with rightwards arrow on top by side PQ with rightwards arrow on top. Thus <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> and space PQ with rightwards arrow on top are the two vectors in same order representing the magnitude and direction of two sides of a triangle.
    Parallelogram law of vector addition: If two vectors acting simultaneously at a point are represented in magnitude and direction by the two sides of a parallelogram drawn from a point then their resultant is given by the diagonal of parallelogram passing through same point, both in magnitude and direction.
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    Fill in the blanks:
    A stone is projected at an angle 45° and falls at a distance 80m from the point of projection. The maximum height attained by the projectile is _____.

    20 m

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    A person can throw a ball to the farthest distance of 120 m. He can throw the same ball to the maximum height of _____.

    60 m

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    The change in the horizontal component of momentum of projectile when it is at the highest point is ________.

    zero

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    Define the following:
    (i) Equal vector               (ii) Negative vector
    (iii) Parallel vector           (iv) Co-planer vector
    (v) Co-initial vector          (vi) Co-linear vector

    (i)  Equal vector: Two vectors are said to be equal vectors, if they have equal magnitude and same direction. Figure (i) shows the two vectors straight A with rightwards arrow on top space and space straight B with rightwards arrow on top having same magnitude and same direction, therefore, they are equal vectors.
                   (i)  Equal vector: Two vectors are said to be equal vectors, if they
    (ii) Negative vector: A vector is said to be negative of another vector if they have same magnitude and opposite direction. Figure (ii) shows the two vectors space straight C with rightwards arrow on top space and space straight D with rightwards arrow on top having same magnitude and opposite direction, therefore, they are negative of each other.

    (iii)  Parallel vector: Two vectors are said to be parallel if the lines of their action are either same or parallel. The magnitude of two vectors need not to be equal. The parallel vectors are of two types:
    (a) Like parallel vector: Two vectors are said to be like parallel vectors if they have same direction.
    (b) Unlike parallel vectors: Two vectors having opposite direction are called unlike parallel vectors.

    (iv) Co-planer vectors: The vectors lying in one plane are called co-planer vectors.
    (v) Co-initial vectors: The vectors having common initial point are called co-initial vectors.
    (vi) Co-linear vectors: The vectors having same line of action are called co-linear vectors.
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