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F.W. BELL 8000 Series Gauss/Tesla Meter Instruction Manual
Appendix B – Vector Summation Tutorial
B-3
Figure B-3 Three Dimensional Coordinate System
As in the two-dimensional system, it is often important to determine the angles between each
axis and the summation vector in a three dimensional system, as shown in Figure B-4.
The angles can be calculated as follows:
α
= cos
-1
( x / r ) = cos
-1
( 12 / 14.32 ) = 33.0 degrees.
β
= cos
-1
( y / r ) = cos
-1
( 6 / 14.32 ) = 65.2 degrees
y = cos
-1
( z / r ) = cos
-1
( 5 / 14.32 ) = 69.6 degrees.
Figure B-4 Vector Angles in a Three Dimensional System
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