Casio FX-991ES User Guide - Page 66

Scientific Constants - scientific calculator

Page 66 highlights

Appendix Store VctA = (1, 2) and VctC = (2, -1, 2). Copy VctA = (1, 2) to VctB and then edit Vector B to VctB = (3, 4). • The following examples use the vectors input in Examples and (VctA, VctB, VctC). VctA + VctB (Vector Addition) 3 × VctA (Vector Scalar Multiplication) VctB - 3 × VctA (Calculation example using VctAns) VctA • VctB (Vector Dot Product) VctA × VctB (Vector Cross Product) Obtain the absolute values of VctC. Determine the size of the angle (angle unit: Deg) formed by vectors A = (-1, 0, 1) and B = (1, 2, 0), and one of the size 1 vectors perpendicular to both A and B. *1 cos θ = (A•B) , which becomes θ = cos-1 (A•B) AB AB *2 Size 1 vector perpendicular to both A and B = (A × B) A × B Scientific Constants Your calculator comes with 40 built-in constants that are commonly used in scientific calculations. You can use the scientific constants in any calculation mode except for BASE-N. • To recall a scientific constant, press 17(CONST). This displays the scientific constant menu. Input the two-digit number that corresponds to the constant you want to recall. When you recall a constant, its unique symbol appears on the display. • The following are all of the built-in scientific constants. 01: proton mass; 02: neutron mass; 03: electron mass; 04: muon mass; 05: Bohr radius; 06: Planck constant; 07: nuclear magneton; 08: Bohr magneton; 09: Planck constant, rationalized; 10: finestructure constant; 11: classical electron radius; 12: Compton wavelength; 13: proton gyromagnetic ratio; 14: proton Compton wavelength; 15: neutron Compton wavelength; 16: Rydberg constant; 17: atomic mass unit; 18: proton magnetic moment; 19: electron magnetic moment; 20: neutron magnetic moment; 21: muon magnetic moment; 22: Faraday constant; 23: elementary charge; 24: Avogadro constant; 25: Boltzmann constant; 26: molar volume of ideal gas; 27: molar gas constant; 28: speed of light in vacuum; 29: first radiation constant; 30: second radiation constant; 31: Stefan-Boltzmann constant; 32: electric constant; 33: magnetic constant; 34: magnetic flux quantum; 35: standard acceleration of gravity; 36: conductance quantum; 37: characteristic impedance of vacuum; 38: Celsius temperature; 39: Newtonian constant of gravitation; 40: standard atmosphere E-64

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
  • 29
  • 30
  • 31
  • 32
  • 33
  • 34
  • 35
  • 36
  • 37
  • 38
  • 39
  • 40
  • 41
  • 42
  • 43
  • 44
  • 45
  • 46
  • 47
  • 48
  • 49
  • 50
  • 51
  • 52
  • 53
  • 54
  • 55
  • 56
  • 57
  • 58
  • 59
  • 60
  • 61
  • 62
  • 63
  • 64
  • 65
  • 66
  • 67
  • 68
  • 69
  • 70
  • 71
  • 72
  • 73
  • 74
  • 75

E-64
Appendix
<#106>
Store VctA = (1, 2) and VctC = (2, –1, 2).
<#107>
Copy VctA = (1, 2) to VctB and then edit Vector B to VctB =
(3, 4).
The following examples use the vectors input in Examples <#106>
and <#107> (VctA, VctB, VctC).
<#108>
VctA + VctB (Vector Addition)
<#109> 3
×
VctA (Vector Scalar Multiplication)
VctB – 3
×
VctA (Calculation example using VctAns)
<#110> VctA
VctB (Vector Dot Product)
<#111> VctA
×
VctB (Vector Cross Product)
<#112>
Obtain the absolute values of VctC.
<#113>
Determine the size of the angle (angle unit: Deg) formed by
vectors A = (–1, 0, 1) and B = (1, 2, 0), and one of the size
1 vectors perpendicular to both A and B.
*1 cos
θ
=
, which becomes
θ
= cos
–1
*2
Size 1 vector perpendicular to both A and B =
Scientific Constants
Your calculator comes with 40 built-in constants that are commonly
used in scientific calculations. You can use the scientific constants
in any calculation mode except for BASE-N.
To recall a scientific constant, press
1
7
(CONST). This displays
the scientific constant menu. Input the two-digit number that
corresponds to the constant you want to recall. When you recall a
constant, its unique symbol appears on the display.
• The following are all of the built-in scientific constants.
01: proton mass; 02: neutron mass; 03: electron mass; 04: muon
mass; 05: Bohr radius; 06: Planck constant; 07: nuclear magneton;
08: Bohr magneton; 09: Planck constant, rationalized; 10: fine-
structure constant; 11: classical electron radius; 12: Compton
wavelength; 13: proton gyromagnetic ratio; 14: proton Compton
wavelength; 15: neutron Compton wavelength; 16: Rydberg
constant; 17: atomic mass unit; 18: proton magnetic moment; 19:
electron magnetic moment; 20: neutron magnetic moment; 21:
muon magnetic moment; 22: Faraday constant; 23: elementary
charge; 24: Avogadro constant; 25: Boltzmann constant; 26: molar
volume of ideal gas; 27: molar gas constant; 28: speed of light in
vacuum; 29: first radiation constant; 30: second radiation constant;
31: Stefan-Boltzmann constant; 32: electric constant; 33: magnetic
constant; 34: magnetic flux quantum; 35: standard acceleration of
gravity; 36: conductance quantum; 37: characteristic impedance
of vacuum; 38: Celsius temperature; 39: Newtonian constant of
gravitation; 40: standard atmosphere
(A
B)
A

B
(A
B)
A

B
(A
×
B)
A
×
B