F.W. Bell 8000 series, Инструкция по эксплуатации

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F.W. BELL 8000 Series Gauss/Tesla Meter Instruction Manual
Appendix B – Vector Summation Tutorial B-2
In some cases it is useful to know the rotational angle,
α
, between one axis and the vector sum.
Figure B-2
depicts this. The classical representation defines the angle between the x-axis and
the vector sum, rotating counterclockwise. Quadrant-I covers angles between 0 to 90 degrees.
Quadrant-II from 90 to 180 degrees, Q-III from 180 to 270 degrees and Q-IV from 270 to 360
degrees.
The angle
α
can be calculated as follows:
α
= cos
-1
( x / r ) = cos
-1
(3 / 5.83) = 59.0 degrees
Figure B-2 Vector Angle in a Two Dimensional System
A similar system can be used to define a point in three-dimensional space, as visualized in
Figure B-3. In this system a point can be defined by its combined horizontal (x), vertical (y)
and depth (z) distance from the origin of the graph. In the example shown, if the point has
coordinates of x=+12, y=+6 and z=+5, calculate the distance from the origin to the point as
follows:
This distance is the vector sum of the individual x, y and z vectors.