Plus One Maths Notes Chapter 12 Introduction to Three Dimensional Geometry is part of Plus One Maths Notes. Here we have given Kerala Plus One Maths Notes Chapter 12 Introduction to Three Dimensional Geometry .

Board | SCERT, Kerala |

Text Book | NCERT Based |

Class | Plus One |

Subject | Maths Notes |

Chapter | Chapter 12 |

Chapter Name | Introduction to Three Dimensional Geometry |

Category | Plus One Kerala |

## Kerala Plus One Maths Notes Chapter 12 Introduction to Three Dimensional Geometry

- In three dimensions, the coordinate axes of a rectangular cartesian coordinate system are three mutually perpendicular lines called x, y and z axes. The three planes are XY, YZ and ZX.

- x, y and z coordinates of a point are respectively distances from YZ, ZX and XY planes.

- Any point on X-axis is of the form (x,0,0)

Any point on Y-axis is of the form (0,y.o)

Any point on Z-axis is of the form (0,0,2) - Distance between P (x
_{1}y_{1}, z_{1}) and Q (x_{2},y_{2},z_{2}) is - The coordinates of the point R which divides the line segment joining P (x
_{1}y_{1}, z_{1}) and Q (x_{2},y_{2},z_{2})

internally in the ratio m : n are given by

- In the case of external division coordinates of R is

- Coordinates of the midpoint of the line segment joining P (x
_{1}y_{1}, z_{1}) and Q (x_{2},y_{2},z_{2}) is

- Coordinates of the centroid of the triangle, whose vertices are (x
_{1}x_{1}, z_{1}),(x_{2},y_{2},z_{2}) - and (x
_{3}, y_{3}, z_{3}) are

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