The co-ordinated can be 1, and the x, y z be given any quantitites which will apply to the conclusion.
(I’m not so generous that I would assume this to be equivalent to my first two paragraphs, but if it was meant to be it is no wonder you’re having trouble with the concept.)
The x, y and z are merely the three axes of a 3D rectangular coordinate system. Any point that satisfies the equation x
2 + y
2 + z
2 = R
2 will be a point on the surface of an origin centered sphere with radius R. A unit sphere has a radius of 1, which allows us to simplify the equation to x
2 + y
2 + z
2 = 1.
As all points on the surface of a sphere are R distance away from our origin ” the center of the sphere proper ” then the specific length of R is irrelevant to which, if any, of the infinite number of values that would satisfy the above equation and also satisfy the conditions of a “center”.
It was, therefore, not necessary to give any value for R, nor were any “actuals” requested.
But there is an issue of a surface center when actual measurements are not given, and its answer required in actuals conversion.
No, not really, there isn’t. This is one of the things that instantly gives away that you are too unfamiliar with the subject to warrant an authoritarian participation in a discussion of the topic.
Asked to find the center of the line whose end points are P
a (x
a, y
a) and P
b (x
b, y
b) one can easily define the center as P
center (x
a + x
b/2, y
a + y
b/2). No one has asked for an “actual”, and no one has given an “actual”, yet the question was satisfied.
One can not define the center of the surface of a sphere, nor define the end of a torus, nor count the number of licks* to the center of a Tootsie Pop
® because they don’t exist. Given any set of values in any set of units will not make it possible.
*The number of licks is the nonexistent value not the sweet Tootsie Roll
®center.
{Content "blockcolored to white" to render text "semi-invisible". Hightlight text to see content.
I do this because Admin has asked IAmJoseph to not further participate in this topic. As such, I'm guessing that replying to IAJ messages (including that final one) is also not a good thing to be doing.
Adminnemooseus}
Edited by Adminnemooseus, : See comments above
Kindly
Ta-da ≠ QED