HP 33S - Page 228

15–8 Mathematics Programs
File name 33s-E-Manual-1008-Publication(1st).doc Page : 386
Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm
d. Compute the dot product by pressing
t
D and the angle between
vectors by pressing
¥
.
7. Optional: to review v
1
in polar form, press
t
P, then press
¥
repeatedly to see the individual elements.
8. Optional: to review v
1
in rectangular form, press
t
R, then press
¥
repeatedly to see the individual elements.
9. If you added, subtracted, or computed the cross product, v
1
has been
replaced by the result, v
2
is not altered. To continue calculations based on the
result, remember to press
t
E before keying in a new vector.
10. Go to step 2 to continue vector calculations.
Variables Used:
X, Y, Z The rectangular components of v
1
.
U, V, W The rectangular components of v
2
.
R, T, P The radius, the angle in the x–y plane (
θ
), and the angle from
the Z axis of v
1
(U).
D The dot product
G The angle between vectors (
γ
)
Example 1:
A microwave antenna is to be pointed at a transmitter which is 15.7 kilometers
North, 7.3 kilometers East and 0.76 kilometers below. Use the rectangular to
polar conversion capability to find the total distance and the direction to the
transmitter.