Transcription of INTRODUCTION TO THREE DIMENSIONAL GEOMETRY
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INTRODUCTION TO THREE DIMENSIONAL GEOMETRY
Coordinate axes and coordinate planes Let X OX, Y OY, Z OZ be threemutually perpendicular lines that pass through a point O such that X OX and Y OY liesin the plane of the paper and line Z OZ is perpendicular to the plane of paper. Thesethree lines are called rectangular axes ( lines X OX, Y OY and Z OZ are called x-axis,y-axis and z-axis). We call this coordinate systema THREE DIMENSIONAL space, or simply THREE axes taken together in pairs determinexy, yz, zx-plane , , THREE coordinate planes. Eachplane divide the space in two parts and the threecoordinate planes together divide the space intoeight regions (parts) called octant, namely (i) OXYZ(ii) OX YZ (iii) OXY Z (iv) OXYZ (v) OXY Z (vi) OX YZ (vii) OX Y Z (viii) OX Y Z.
INTRODUCTION TO THREE DIMENSIONAL GEOMETRY 211 (ii) From the origin, move 2 units along the negative direction of x-axis. Let this point be A (–2, 0, 0). From the point A move 2 units parallel to negative direction of y-axis. Let this point be B (–2, –2, 0). From B …
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