8.2 Three–dimensional space DEFINITION 8.2.1 Three–dimensional space is the set E3 of ordered triples (x, y, z), where x, y, z are real numbers. %PDF-1.7 endobj ?���:��0�FB�x$ !���i@ڐ���H���[EE1PL���⢖�V�6��QP��>�U�(j %���� /Length 2596 /Filter /FlateDecode x���wTS��Ͻ7�P����khRH �H�. �@���R�t C���X��CP�%CBH@�R����f�[�(t� C��Qh�z#0 ��Z�l�`O8�����28.����p|�O×�X NODE6\E\Data\2014\Kota\JEE-Advanced\SMP\Maths\Unit#10\ENG\03-3D-COORDINATE GEO.p65 JEE-Mathematics POINT 1. endobj /N 3 2 0 obj {{{;�}�#�tp�8_\. 77 Summary of Surface Area and Volume Formulas – 3D Shapes 78 Index Version 3.2 Page 4 of 82 August 28, 2018. The triple (x, y, z) is called a point P in E3 and we write P = (x, y, z). In two dimensions a point represented by an ordered pair (x, y) (where x & y are both real numbers) << <> We conclude the chapter by deriving a formula for the distance from a point to a plane. *1 J�� "6DTpDQ��2(���C��"��Q��D�qp�Id�߼y�͛��~k����g�}ֺ ����LX ��X��ň��g`� l �p��B�F�|،l���� ��*�?�� ����Y"1 P������\�8=W�%�Oɘ�4M�0J�"Y�2V�s�,[|��e9�2��s��e���'�9���`���2�&c�tI�@�o�|N6 (��.�sSdl-c�(2�-�y �H�_��/X������Z.$��&\S�������M���07�#�1ؙY�r f��Yym�";�8980m-m�(�]����v�^��D���W~� ��e����mi ]�P����`/ ���u}q�|^R��,g+���\K�k)/����C_|�R����ax�8�t1C^7nfz�D����p�柇��u�$��/�ED˦L L��[���B�@�������ٹ����ЖX�! We have everything covered right from basic to advanced concepts in Coordinate Geometry. �MFk����� t,:��.FW������8���c�1�L&���ӎ9�ƌa��X�:�� �r�bl1� Make the most out of the Maths Formulas for Class 10 prepared by subject experts and take your preparation to the next level. 3D Transformations • In homogeneous coordinates, 3D transformations are represented by 4x4 matrices: • A point transformation is performed: 0 0 0 1 z y x g h i t d e f t a b c t = 1 0 0 0 1 1 ' ' ' z y x g h i t d e f t a b c t z y x z y x 3D Translation • P in translated to P' by: • Inverse translation: + + + = @~ (* {d+��}�G�͋љ���ς�}W�L��$�cGD2�Q���Z4 E@�@����� �A(�q`1���D ������`'�u�4�6pt�c�48.��`�R0��)� The numbers x, y, z are called, 3 0 obj [/ICCBased 3 0 R] The List of Important Formulas for Class 10 Coordinate Geometry is provided on this page. INTRODUCTION : In earlier classes we have learnt about points, lines, circles and conic section in two dimensional geometry. 1 0 obj stream >>

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