What: Vectorial description of a 3D Point.
Time To Complete: Open-ended
Prerequisites: Integers, Decimal Numbers and Negative Numbers
¶ Cartesian 3D Coordinates
A Cartesian coordinate system for a three-dimensional space consists of an ordered triplet of lines (the axes) that go through a common point (the origin), and are pair-wise perpendicular; an orientation for each axis; and a single unit of length for all three axes. As in the two-dimensional case, each axis becomes a number line.
The sliders have a lag of 1-4 seconds!
a,b,c sliders are for mobile phones to rotate the graphics
¶ Number Lines
The following Cloud Object computes actual code for the student to experiment with mathematical concepts. Students, for free, could download this Cloud Object and modify the code for experiential learning on all browsers including the mobiles.
¶ Standard 3D-Number Lines
The following diagram is one standard way of assigning 3-tuple of numbers (x, y, z) to each point of 3D space. The diagram has tken 3 Number Lines at Origin O, made them perpendicular to each other and each coordinate is actually a number assigned to a corresponding Number Line e.g. x, y or z.
In this diagram (x,y,z)=(Px, Py, Pz).
O=(0,0,0)
¶ TODO
Perpendicular Lines