Hello, zasi!
pliz help me to plot the three dimensions accurately
by using the graph. Show it step by step: e.g. P(5,4,4)
If you've never done this before, you need to know some basics.
We take our familiar xyplane and "lay it on the floor".
Then the zaxis will run up and down.
The first "octant" (where all three coordinates are positive) looks like this: Code:
z






*        y
/
/
/
/
/
x
It may help the visualization if I draw in the "walls" and "floor". Code:
z
*       *
/ 
/  
/  
/  
*  
 *       * y
 / /
 / /
 / /
/ /
*      *
x
I remind you that the zaxis extends below the "floor"
. . (that is where z is negative)
that the yaxis extends to the left of the "left wall",
and the xaxis extends behind the "back wall".
To plot P(5, 4, 4), note what it says:
. . x = 5, y = 4, z = 4.
Starting at the origin, we move 5 in the xdirection
. . (that's 5 units behind the "back wall"),
then move +4 in the ydirection
. . (that's 4 units to the right),
then move +4 in the zdirection
. . (that's 4 units up).
And there is point P(5, 4, 4).
It's difficult to draw (or type) a threedimensional situation
. . on a twodimensional screen, but I'll try. Code:
z P
 o
 :
 :4
 :
 *    *
 / 4
 /5
/
*        y
/
/
/
/
/
x
Think of directions to your friend's new apartment.
You start at a mutuallyagreed location, say, City Hall.
You are told to drive 5 blocks north,
. . then and 4 blocks east, locating the building,
. . then take the elevator to the fourth floor.
And there is his/her apartment.