Transcription of INTRODUCTION TO THREE DIMENSIONAL GEOMETRY
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INTRODUCTION TO THREE DIMENSIONAL GEOMETRY
Mathematics is both the queen and the hand-maiden ofall sciences BELL IntroductionYou may recall that to locate the position of a point in aplane, we need two intersecting mutually perpendicular linesin the plane. These lines are called the coordinate axesand the two numbers are called the coordinates of thepoint with respect to the axes. In actual life, we do nothave to deal with points lying in a plane only. For example,consider the position of a ball thrown in space at differentpoints of time or the position of an aeroplane as it fliesfrom one place to another at different times during its , if we were to locate the position of thelowest tip of an electric bulb hanging from the ceiling of aroom or the position of the central tip of the ceiling fan in a room, we will not onlyrequire the perpendicular distances of the point to be located from two perpendicularwalls of the room but also the height of the point from the floor of the room.
introduction to three dimensional geometry 271 Example 1 In Fig 12.3, if P is (2,4,5), find the coordinates of F. Solution For the point F, the distance measured along OY is zero.
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