HP F2216A hp 33s_user's manual_English_E_HDPM20PIE56.pdf - Page 223
Mathematics Programs, Vector Operations
UPC - 082916014555
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15 Mathematics Programs Vector Operations This program performs the basic vector operations of addition, subtraction, cross product, and dot (or scalar) product. The program uses three-dimensional vectors and provides input and output in rectangular or polar form. Angles between vectors can also be found. Z P R Y T X This program uses the following equations. Coordinate conversion: X = R sin(P) cos(T) R = X2 +Y2 + Z2 Y = R sin(P) sin(T) T = arctan (Y/X) Z = R cos(P) P = arctan Z X2 +Y2 Mathematics Programs 15-1
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Mathematics Programs
15–1
15
Mathematics Programs
Vector Operations
This program performs the basic vector operations of addition, subtraction, cross
product, and dot (or scalar) product. The program uses three–dimensional vectors
and provides input and output in rectangular or polar form. Angles between
vectors can also be found.
Y
P
X
T
R
Z
This program uses the following equations. Coordinate conversion:
X
=
R
sin(
P
) cos(
T
)
R
=
2
2
2
Z
Y
X
+
+
Y
= R sin(
P
) sin(
T
)
T
= arctan (
Y
/
X
)
Z
=
R
cos(
P
)
P
= arctan
2
2
Y
X
Z
+