HP HP-32S - Page 167

This program uses the following equations.
Coordinate conversion:
X = R sin(P) cos(T) R = Vx2 + Y2 + Z2
Y
Y= R sin(P) sin(T) T= arctan -J-
A
7
Z = R cos(P) P = arctan
VX2 + Y2
Vector addition and subtraction:
vi + v2 = (X + U)i + (Y + V)j + (Z + W)k
v2 - Vl = (U - X)i + (V - Y)j + (IV - Z)k
Cross product:
vx x v2 = (YW - ZV)i + (ZU - XW)j + (XV - YU)k
Dot product:
D = XU + YV + ZW
Angle between vectors (7):
G = arccos — —-,
J\j x K2
where
vx = Xi + Yj + Zk
and
v2 = lii + Vj + Wk
The vector displayed by
the input routines (LBL P and LBL R) is Vj.
12: Mathematics Programs 165