Re: Rotation of a Cube

On Thu, 17 Jul 2008, J-Burns wrote:

Hello. Need some help here. I have a 4*4 cube. So the equation of the
cube becoming:

x + 4*y + 16*z

I don't get it. What's happening with math education?
Preprogramed computer stupidy? Do you know what an equation is?
Do they teach any more what an equation is? For your information,
x + 4y + 16z

is not an equation? Why isn't it an equation? Here are some equations:
x + 4y + 16z = 0
x + 4y + 16z = 15
x + 4y + 16z = c.
x + 4y + 16z = x^2 + y^2 + z^2

Now none of those equations describe a square within R^3 using
x,y,z for the Cartesian axis. The first two describe a plane.
None of them, not even one of them describe a square.

Now i want to rotate this cube 90 degrees anticlockwise( a right
rotation). How can i do that? The rotation must take place with the
axis of rotation being the straight line through the center of the
cube and perpendicular to the "xz-plane." The axis are aligned in this
fashion:

What cube?

In math i = sqr -1. In Enghish, the first person singular 'I' is
capitlized. Would you clarify your use of immaginary number i in
your above paragraph?

y
|
|
|________ x
/
/
z

Moreover, also tell me how to perform a rotation with the axis of
rotation being the straight line through the center of the cube and
perpendicular to the "yz-plane."

Ninety degree, clockwise and counter clockwise,
rotations of the yz plane about the x-axis are
x' = x x' = x
y' = z y' = -z
z' = -y z' = y

Essentially, I need the equations of the lines after the rotation has
been done in both cases.

What lines?
.

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