# application of vectors in real life pdf

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Or at least I see how vectors can be useful in real life. %�쏢 4.1 Formula for the sum of two vectors … �� Vectors are … >> stream 5 0 obj 1.1 Vectors A vector is an ordered nite list of numbers. �� � } !1AQa"q2���#B��R��\$3br� stream /FormType 1 The vector c may be shown diagramatically by placing arrows representing a and bhead to tail, as shown. /BBox[0 0 2384 3370] /Type/Font Your passion for the subject is commendable, keep it up! x�+T0�32�472T0 AdNr.W��������X���R���T��\����N��+��s! 10 0 obj %&'()*456789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz��������������������������������������������������������������������������� << endobj /Subtype/Type1 Throughout the unit, students are presented with applications to everyday life and many of the definitions and formulas are framed in a real … >> �W���Mp��n?ϻ��H&������#i ����%^����v�鸅�N�O�}�^�H�ۆ\��݇��a�p �n��`:��~3�+s����7�}]�ˡjh7�Ѭ����iJd���\. VISUALIZING MATHS.PDF. /Height 68 ]^-��H�0Q\$��?�#�Ӎ6�?���u #�����o���\$QL�un���r�:t�A�Y}GC�`����7F�Q�Gc�R�[���L�bt2�� 1�x�4e�*�_mh���RTGך(�r�O^��};�?JFe��a����z�|?d/��!u�;�{��]��}����0��؟����V4ս�zXɹ5Iu9/������A �`��� ֦x?N�^�������[�����I\$���/�V?`ѢR1\$���� �b�}�]�]�y#�O���V���r�����y�;;�;f9\$��k_���W���>Z�O�X��+�L-%N��mn��)�8x�0����[ެЀ-�M =EfV��ݥ߇-aV"�հC�S��8�J�Ɠ��h��-*}g��v��Hb��! :S�!��w�]mv=T ��C�� �W;���>��m�ñ�k(��;�dj�oB�wNԘ7��͗rW5xd;��5�@�K��%N�oec��"=e���L�(*��|�x�Mۭ ����������9tv�R6�d�����P�[�@cz Vectors hexagon puzzle – PDF – An excellent activity that covers all of the vectors covered in FP4. We describe some settings in which vectors are used. /ColorSpace/DeviceRGB /Matrix[1 0 0 1 -20 -20] The application of eigenvalues and eigenvectors is useful for decoupling three-phase systems through symmetrical component transformation. %PDF-1.4 >�(���4/�C���B�e�>ԇ�[������-�ﰱ�έ�Z /XObject 11 0 R Mark and Lisa are two real estate agents. 11 0 obj The real life formalism everybody uses is tensor index notation, as used and developed by Einstein and others at the turn of the 20th century. 812.5 875 562.5 1018.5 1143.5 875 312.5 562.5] Ģ���i�j��q��o���W>�RQWct�&�T���yP~gc�Z��x~�L�͙��9�޽(����("^} ��j��0;�1��l�|n���R՞|q5jJ�Ztq�����Q�Mm���F��vF���e�o��k�д[[�BF�Y~`\$���� ��ω-�������V"�[����i���/#\�>j��� ~���&��� 9/yY�f�������d�2yJX��EszV�� ]e�'�8�1'ɖ�q��C��_�O�?܇� A�2�ͥ�KE�K�|�� ?�WRJǃ9˙�t +��]��0N�*���Z3x��E�H��-So���Y?��L3�_#�m�Xw�g]&T��KE�RnfX��9������s��>�g��A���\$� KIo���q�q���6�o,VdP@�F������j��.t� �2mNO��W�wF4��}�8Q�J,��]ΣK�|7��-emc�*�l�d�?���׾"��[�(�Y�B����²4�X�(��UK /Length 5591 >> `(��i��]'�)���19�1��k̝� p� ��Y��`�����c������٤x�ԧ�A�O]��^}�X. /Type/XObject >> x��]K��u�e��(bh���e{��ڞVף� �M����@ �������������6Bn���}��>���yR�nN���닯�����_�?�}��{&���?����ݿ����}���/�)�0�����f�w~�'O��������ho]����`������?=�i�ƨ��q��?H[���ܼ���x�4? 9 0 obj �� � w !1AQaq"2�B���� #3R�br� endobj 5. Vectors In this chapter we introduce vectors and some common operations on them. ���� Adobe d �� C /Width 226 /Subtype/Image 875 531.3 531.3 875 849.5 799.8 812.5 862.3 738.4 707.2 884.3 879.6 419 581 880.8 %PDF-1.2 %���� ��w1���.^��AH�q�?����+x7�_����O��Ee)( ��R�l�4pq}3β�U�7� Then (by definition) c a b is also a vector. << <> Based on past sales, we estimated the following joint probabilities for X and Y. X 0 1 2 0 … The ability to manipulate vectors is critical for meteorology. \$, !\$4.763.22:ASF:=N>22HbINVX]^]8EfmeZlS[]Y�� C**Y;2;YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY�� D �" �� On p73-76 of Symon book (see handout), the basic algebra of vectors is discussed – read this very carefully! /Subtype/Form Vector addition satisfies a b b a (again, by definition). /Length 66 endobj %PDF-1.2 675.9 1067.1 879.6 844.9 768.5 844.9 839.1 625 782.4 864.6 849.5 1162 849.5 849.5 \$4�%�&'()*56789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz�������������������������������������������������������������������������� ? Reply Delete. n_v�\$��ެ��#���'s�M]��� ��=�h3��{�)e/���f������0\$��(���\N�l֬\$�4� ��)>3��"hI�� ��D���.8�G�hu�3�#�y���Xcv��" ��4. /FontDescriptor 8 0 R Electronics: RLC circuits. 687.5 312.5 581 312.5 562.5 312.5 312.5 546.9 625 500 625 513.3 343.8 562.5 625 312.5 /Name/F1 "�� rđ��YM�MYle���٢3,�� ����y�G�Zcŗ�᲋�>g���l�8��ڴuIo%���]*�. Vectors Applications of Vectors Aim To demonstrate the application of vectors in the real world. /R7 12 0 R /Filter/DCTDecode 593.8 500 562.5 1125 562.5 562.5 562.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4. Application of vectors 4 – Smart Notebook – Finding shortest distances between a point and a line and between 2 lines. Calculus and Vectors – How to get an A+ 7.7 Applications of the Dot and Cross Product ©2010 Iulia & Teodoru Gugoiu - Page 1 of 2 7.7 Applications of the Dot and Cross Product A Work The work W done … '�2D�Vw�j�S�w�pB��V%�i�k\$�JC�i\$"�ޚe��"RI���o��Еve�FS搐�u���b�]|�=!����G��v�ɾ�}&�\$��W0g�u,����e��J����mn_�\$�)"���d(���I��\��+��'.��ćM)G�7a�{�<�]� 0 0 0 0 0 0 0 0 0 0 0 0 675.9 937.5 875 787 750 879.6 812.5 875 812.5 875 0 0 812.5 << /Resources<< /ProcSet[/PDF/ImageC] >> This notation replaces vector notation, is universal for tensors, … /BitsPerComponent 8 Let X and Y be the respective numbers of houses sold by them in a month. and multiplication, and a hands-on, multidisciplinary activity that allows students to see real-world statics (physics) applications to vectors. stream ?��x��G�_��7ߞ�4�W��ch���¢,���3��o��fo�fՌ�~uzP��6bE�Do�.�����sV�����I�Y-0�����������������'c�!8�O�i��--��R?�����0�4�}��V�h��;ߖq�M����o�텎���B'���Y����|���ڸE�]i��{]��`ĸ��%��޵�|��n��3�6>*?~�k�\$�r���|a�|紝� ���}��/�|�����er�\�Z��OzY�)5Ͷ�O]�Z�Ow_�Y鐖_;?�1�����0-ƭ#����{�DBA����Oi�N�L�m�z���fY��g�v1�@������h. 12 0 obj Vectors revision notes – Word – An overview of all the vectors … /Name/Im1 562.5 562.5 562.5 562.5 562.5 562.5 562.5 562.5 562.5 562.5 562.5 312.5 312.5 342.6