HP 48gII hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf - Page 288

Building a three-dimensional vector Function V3 is used in the RPN mode to build a vector with the values in stack levels 1: , 2:, and 3:. The following screen shots show the stack before and after applying function V2: Changing coordinate system Functions RECT, CYLIN, and SPHERE are used to change the current coordinate system to rectangular (Cartesian), cylindrical (polar), or spherical coordinates. The current system is shown highlighted in the corresponding CHOOSE box (system flag 117 unset), or selected in the corresponding SOFT menu label (system flag 117 set). In the following figure the RECTangular coordinate system is shown as selected in these two formats: 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 θ (in the current angular measure) representing the inclination of r with respect to the positive x-axis , and a zcomponent 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 = 25o (DEG should be selected as the angular measure), and z = 2.3, we can enter this vector in the following way: Page 9-13