Angle Between Two Vectors - HP -22S Owner's Manual

Angle Between Two Vectors
The angle between vectors
VI
=x1i+Ylj and
V2=X2i+Y2j
can be calcu-
lated by converting both vectors to polar coordinates and calculating
the difference between the two angles.
Example:
Find the angle between:
y
(-2,4)
vI =
-2i
+
4j
V2
=
6i
+
5j
(6.5)
----~~-----------------x
Keys:
Display: Description:
.'MODESI {DC}
Sets Degrees mode.
6.'xCOORDI
:>::=6.0000
Stores
x
and
Y
for
v2'
5.,,,COORDI >,=5.0000
.1
ANGLE I' STO I A 8=39.8056
Calculates 8 for
V2
and
stores value in variable
A.
2 ~.I xCOORD I
:>::=-2.0000
Stores
x
and
Y
for
v l'
4.I"cOORDI
>,=4.0000
.'ANGlEI
8=116.5651
Calculates 8 for
v l'
GIRCll AG 76.7595
Calculates angle be-
tween
VI
and
V2'
8: Additional Examples 115