Length of Vectors x, y and z in RSK Plane R | Reference System K

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SUMMARY

The discussion centers on the calculation of the lengths of vectors x, y, and z in the context of Reference System K (RSK) as vector f rotates in plane R. It is established that the length of a vector remains invariant regardless of rotation, emphasizing that vector f, defined as a unit vector with a magnitude of one, does not alter the lengths of x, y, and z. The conversation highlights confusion regarding the definitions of vectors and angles, as well as the dimensional structure of vector addition within RSK. Ultimately, the need for clarity in defining vectors and their relationships is underscored.

PREREQUISITES
  • Understanding of vector mathematics and properties
  • Familiarity with rotational dynamics and energy concepts
  • Knowledge of Reference System K (RSK) and its dimensional properties
  • Basic principles of quantum mechanics and waveforms
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  • Research the mathematical properties of unit vectors in rotational systems
  • Explore the implications of vector addition in different orientations
  • Study the principles of Reference System K (RSK) in detail
  • Examine the relationship between quantum mechanics and vector mathematics
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Mathematicians, physicists, and students of quantum mechanics who are interested in the properties of vectors in rotational systems and the theoretical implications of Reference System K.

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I need the formula for the length of vectors x, y and z as vector f rotates in plane R.

What is the length of each vector (x, y and z) when vector f is at x degrees? Vector f extends from zero, rotates in plane R and has a unit length of 1.

attachment.php?attachmentid=1318&stc=.jpg


Rotational energy is an influence on, and/or is a product of, the random chance that an event will happen. In the quantum world, particles can diffuse into waveforms and the waveform is a cyclic probability pattern. A wave pattern can be expressed as the sum of axial vectors around an equilibrium position and, in the dimensional space of RSK, the order of vector addition matters.
RSK is intersected through zero by the forth-dimensional axis, Tk. Frequency vector f rotates around and is perpendicular to Tk.
Frequency vector f has a magnitude of one unit and is set as a unit vector. Vector f is the sum of three vectors in three different orientations:

(vector x + vector y + vector z)1 = vector f
(vector y + vector z + vector x)2 = vector f
(vector z + vector x + vector y)3 = vector f

The addition of the three vectors in the three different orientations may arrive at the same place within RSK, but the dimensional structure of the vector addition to a point is different for each orientation.


The orientations of the planes are designated as 1, 2 and 3. Within each plane of each orientation, after one revolution of vector f., the sum of the two vectors, (vector x + vector y)1, (vector y + vector z)2 and (vector z + vector x)3, transcribe an ellipse within the respective plane.
attachment.php?attachmentid=1315&stc=1.jpg

RSK is comprised of three different, three dimensional orientations: (vector x + vector y + vector z)1, (vector y + vector z + vector x)2 and (vector z + vector x + vector y)3.
The sum of the three vectors in each orientation follows the rotation of vector f in plane R. With a full rotation of vector f, the sum of the first two vectors in each plane transcribes an ellipse within that plane. The third vector extends from the edge of the ellipse and is parallel to the third axis to the tip of vector f.

attachment.php?attachmentid=1316&stc=1.jpg


Reference System K is the basis for "The Theory of the 42s." The Theory of the 42s may be stated as manifestations of energy in deterministic states that form the structure of electrons and quarks. These determinate states can be projected with iterated equations within a 42. Three 42s combine in RSK. See http://www.ReferenceSystemK.com
 

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:rolleyes: I'm only responding to this gibberish for the sake of students who might be confused by it.

Physicsfreek said:
I need the formula for the length of vectors x, y and z as vector f rotates in plane R.

It doesn't matter what vector f is doing. The length of a vector is invariant with respect to rotation of any kind.

What is the length of each vector (x, y and z) when vector f is at x degrees? Vector f extends from zero, rotates in plane R and has a unit length of 1.

attachment.php?attachmentid=1318&stc=.jpg


This makes no sense at all. First, x is a vector, and then a few words later x is an angle. Your diagram further confuses matters by denoting x, y, and z as planes, not vectors or angles.

Rotational energy is an influence on, and/or is a product of, the random chance that an event will happen.

No, rotational energy is a product of rotational motion.

In the quantum world, particles can diffuse into waveforms and the waveform is a cyclic probability pattern. A wave pattern can be expressed as the sum of axial vectors around an equilibrium position and, in the dimensional space of RSK, the order of vector addition matters.

Well then the dimensional space of RSK is not the vector space of QM, because in that vector space, vectors commute under addition.

RSK is intersected through zero by the forth-dimensional axis, Tk. Frequency vector f rotates around and is perpendicular to Tk.

Since you never defined frequency vector f, this doesn't mean anything.

Frequency vector f has a magnitude of one unit and is set as a unit vector. Vector f is the sum of three vectors in three different orientations:

(vector x + vector y + vector z)1 = vector f
(vector y + vector z + vector x)2 = vector f
(vector z + vector x + vector y)3 = vector f

And since you never defined vectors x, y, and z, this doesn't mean anything either.

The addition of the three vectors in the three different orientations may arrive at the same place within RSK, but the dimensional structure of the vector addition to a point is different for each orientation.

There is no "dimensional structure" to vector addition. There is dimension of vector spaces, but you aren't dealing with a vector space here.

That's it, I've had enough.

This is going to Theory Development, and I'm locking it.
 

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