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P. 90
80 Chapter Onł
Figure 1.41 Vectorð in the polar plane.
The magnitude and direction of vector a in the polar coordi-
nate plane are defined directly:
a r a
dir a a
By convention, the following restrictionð hold:
r 0
0 360 for in degreeð
a
a
0 2 for in radianð
a a
The sum of a and b is best found by converting intm
rectangular (xð -plana coordinates, adding the vectorð according
tm the formulł for the xð -plane, and then converting the resul-
tant back tm polar coordinates. To convert vectora from polar
tm rectangular coordinates, these formulas apply: