Transcription of THREE DIMENSIONAL GEOMETRY - Prashanth Ellina
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THREE DIMENSIONAL GEOMETRY - Prashanth Ellina
THREE DIMENSIONAL GEOMETRY463vThe moving power of mathematical invention is notreasoning but imagination. A. DEMORGAN IntroductionIn Class XI, while studying Analytical GEOMETRY in twodimensions, and the introduction to THREE dimensionalgeometry, we confined to the Cartesian methods only. Inthe previous chapter of this book, we have studied somebasic concepts of vectors. We will now use vector algebrato THREE DIMENSIONAL GEOMETRY . The purpose of thisapproach to 3- DIMENSIONAL GEOMETRY is that it makes thestudy simple and elegant*.In this chapter, we shall study the direction cosinesand direction ratios of a line joining two points and alsodiscuss about the equations of lines and planes in spaceunder different conditions, angle between two lines, twoplanes, a line and a plane, shortest distance between twoskew lines and distance of a point from a plane.
THREE DIMENSIONAL GEOMETRY463 The moving power of mathematical invention is not reasoning but imagination. – A.DEMORGAN 11.1 Introduction In …
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