HP 33s - Manual (Page 230)

15–8 Mathematics Programs
3. Key in R and press g , key in T and press g , then key in P and press
g . Continue at step 5.
4. Key in X and press g , key in Y and press g , and key in Z and press
g .
5. To key in a second vector, press X E (for enter), then go to step 2.
6. Perform desired vector operation:
a. Add vectors by pressing X A;
b. Subtract vector one from vector two by pressing X S;
c. Compute the cross product by pressing X C;
d. Compute the dot product by pressing X D and the angle between
vectors by pressing g .
7. Optional: to review v
1
in polar form, press X P, then press g
repeatedly to see the individual elements.
8. Optional: to review v
1
in rectangular form, press X R, then press g
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has been
replaced by the result, v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 X 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.