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Summary

  • In three dimensions, the coordinate axes of a rectangular Cartesian coordinate system are three mutually perpendicular lines. The axes are called the
  • The three planes determined by the pair of axes are the coordinate planes, called XY, YZ and ZX-planes.
  • The three coordinate planes divide the space into eight parts known as octants, in the form of triplet like. Here are the distance from the YZ, ZX and XY-planes.
    1. Any point on is of the form
    2. Any point on is of the form
    3. Any point on is of the form .
  • Distance between two pointsis given by
  • The coordinates of the point B which divides the line segment joining two points internally and externally in the ratio m : n are given by respectively.
  • The coordinates of the mid-point of the line segment joining two points are
  • The coordinates of the centroid of the triangle, whose vertices are are




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