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 = 3i+2j-5k, 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
(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
must be entered preceded by the angle
character ( ), generated by using ~‚6. For example, suppose that we
have a vector with r = 5,
(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( ), y = r sin( ), 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
is the length of the vector,
is the angle that the xy projection
of the vector forms with the positive side of the x-axis, and
is the angle that
forms with the positive side of the z axis), with
We will use:„Ô5 ‚í ~‚6 25 í