Search for notes by fellow students, in your own course and all over the country.
Browse our notes for titles which look like what you need, you can preview any of the notes via a sample of the contents. After you're happy these are the notes you're after simply pop them into your shopping cart.
Title: Introduction to Three Dimensional Geometry
Description: Here we will learn about Introduction to Three Dimensional Geometry which include: Three-dimensions coordinate planes and distance formula.
Description: Here we will learn about Introduction to Three Dimensional Geometry which include: Three-dimensions coordinate planes and distance formula.
Document Preview
Extracts from the notes are below, to see the PDF you'll receive please use the links above
Introduction to Three Dimensional Geometry
Three-dimensions coordinate planes
The coordinate axes of a rectangular Cartesian coordinate system are three mutually
perpendicular lines
...
The three planes determined by the pair of axes are the coordinate planes, called XY,
YZ and ZX-planes
...
In three-dimensional geometry, the coordinates of a point P are always written in the
form of triplets i
...
, (x, y, z)
...
Also, the coordinates of the origin are (0, 0, 0)
...
The
following table shows the signs of the coordinates in the eight octants
...
In Coordinates of points lying on different axes:
Any point on the x-axis is of the form (x, 0, 0)
Any point on the y-axis is of the form (0, y, 0)
Any point on the z-axis is of the form (0, 0, z)
Coordinates of points lying in different planes:
Coordinates of a point in the YZ-plane are of the form (0, y, z)
Coordinates of a point in the XY-plane are of the form (x, y, 0)
Coordinates of a point in the ZX-plane are of the form (x, 0, z)
Example: The points (–5, 6, 0), (0, –5, 6), (–5, 0, 6) lies in the XY-plane, YZ-plane and ZXplane respectively
...
Solution: Let the required point be (0, 0, z)
...
Therefore,
Thus, the required points on the z-axis are (0, 0, 1) and (0, 0, 5)
Title: Introduction to Three Dimensional Geometry
Description: Here we will learn about Introduction to Three Dimensional Geometry which include: Three-dimensions coordinate planes and distance formula.
Description: Here we will learn about Introduction to Three Dimensional Geometry which include: Three-dimensions coordinate planes and distance formula.