Page 9-13
When the rectangular, or Cartesian, coordinate system is selected, the top line
of the display will show an XYZ field, and any 2-D or 3-D vector entered in the
calculator is reproduced as the (x,y,z) components of the vector. Thus, to enter
the vector A = 3
i
+2
j
-5
k
, we use [3,2,-5], and the vector is shown as:
If instead of entering Cartesian components of a vector we enter cylindrical
(polar) components, we need to provide the magnitude, r, of the projection of
the vector on the x-y plane, an angle
θ
(in the current angular measure)
representing the inclination of r with respect to the positive x-axis , and a z-
component of the vector. The angle
θ
must be entered preceded by the angle
character (
∠
), generated by using
~‚6
. For example, suppose that we
have a vector with r = 5,
θ
= 25
o
(DEG should be selected as the angular
measure), and z = 2.3, we can enter this vector in the following way:
„Ô5 ‚í ~‚6 25 ‚í 2.3
Before pressing
`
, the screen will look as in the left-hand side of the
following figure. After pressing
`
, the screen will look as in the right-hand
side of the figure (For this example, the numerical format was changed to Fix,
with three decimals).
Notice that the vector is displayed in Cartesian coordinates , with components
x = r cos(
θ
), y = r sin(
θ
), z = z, even though we entered it in polar coordinates.
This is because the vector display will default to the current coordinate system.
For this case, we have x = 4.532, y = 2.112, and z = 2.300.
Suppose that we now enter a vector in spherical coordinates (i.e., in the form
(
ρ,θ,φ
), where
ρ
is the length of the vector,
θ
is the angle that the xy projection
of the vector forms with the positive side of the x-axis, and
φ
is the angle that
ρ
forms with the positive side of the z axis), with
ρ
= 5,
θ
= 25
o
, and
φ
= 45
o
.
We will use:
„Ô5 ‚í ~‚6 25 í
~‚6 45
Summary of Contents for 50G
Page 1: ...HP g graphing calculator user s guide H Edition 1 HP part number F2229AA 90006 ...
Page 130: ...Page 2 70 The CMDS CoMmanDS menu activated within the Equation Writer i e O L CMDS ...
Page 206: ...Page 5 29 LIN LNCOLLECT POWEREXPAND SIMPLIFY ...
Page 257: ...Page 7 20 ...
Page 383: ...Page 11 56 Function KER Function MKISOM ...
Page 715: ...Page 21 68 Whereas using RPL there is no problem when loading this program in algebraic mode ...
Page 858: ...Page L 5 ...