Chapter 10: Vector Arithmetic - HP 46 Operating Manual

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Vector Arithmetic
1 O
After a vector has been converted to rectangular coordinates, it can be
added to or subtracted from another converted vector by using the =+
and
®Em
> keys. The procedure for adding or subtracting vectors
follows:
1.
Erase the summation storage locations (5-8) by pressing wmm
CLR.
2. Convert the first vector to rectangular coordinates by pressing
== REC,
3. Store the x and y values in locations 7 and 8 by pressing > +.
4.
Convert the second vector to rectangular coordinates.
5. Add the second vector's coordinates to those in locations 7 and
8 by pressing > +. Or alternatively, subtract the second vector''s
coordinates from those in 7 and 8 by pressing ™88 >—
The
resultant vector, in rectangular coordinates, is stored in locations
7 and 8.
6.
Recall locations 7 and 8 to X and Y respectively by pressing
RCL > +.
7.
Finally convert these values to polar coordinates by pressing TO
POL
EXAMPLE
A. An aircraft has a true air speed of 150 knots and an estimated
heading of 45°. There is a head wind of 40 knots and 25°. What is
the actual ground speed and true heading?
Solution:
The true heading and actual ground speed are equal
to the difference of the vectors:
45° 150 knots
25°, 40 knots
39

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