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HP 50g manual Reference

Models: 50g

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Examples of cross products of one 3-D vector with one 2-D vector, or vice versa, are presented next:

Attempts to calculate a cross product of vectors of length other than 2 or 3, produce an error message:

Reference

Additional information on operations with vectors, including applications in the physical sciences, is presented in Chapter 9 of the calculator’s user’s guide.

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HP 50g manual Reference

Contents

User’s manual HP 50g graphing calculatorPrinting History Preface Table of Contents Calculations with real numbers Algebraic and arithmetic operations Calculations with complex numbersOperations with lists Solution to equationsMatrices and linear algebra VectorsCalculus Applications GraphicsVector Analysis Applications Multi-variateCalculus ApplicationsDifferential Equations Probability DistributionsStatistical Applications Using SD cardsNumbers in Different Bases Equation LibraryBatteries Chapter Getting startedBasic Operations Page Tool menu Contents of the calculator’s displayMenus Introducing the calculator’s keyboard Setting time and dateALPHA-Left-Shift function, to enter the lower-case letter p Selecting calculator modes √ 3.*5.-1/3.*3./23.3+EXP2.5 Operating ModePage Lets try now the expression proposed earlier Fixed format with decimals Number Format and decimal dot or commaStandard format Scientific format Engineering format Decimal comma vs. decimal point Coordinate System Angle MeasureSelecting CAS settings Explanation of CAS settings Selecting Display modes Selecting properties of the line editor Selecting the display fontSelecting properties of the Stack Selecting properties of the equation writer EQW ReferencesCalculator objects Chapter Introducing the calculatorEditing expressions in the stack Creating arithmetic expressionsPage Page 2L 1 + + 2 L + y Creating algebraic expressionsUsing the Equation Writer EQW to create expressions + 2 ⋅ 5 + ⎛ x + 2 ∝ ⋅ ∆y ⎞ Home directory Organizing data in the calculatorTyping variable names VariablesSubdirectories Creating variables Algebraic modeRPN mode Page Checking variables contents Deleting variables Listing the contents of all variables in the screenUsing function Purge in the stack in Algebraic mode Using function Purge in the stack in RPN mode Choose boxes vs. Soft Menu Undo and CMD functions@@OK@@ References Examples of real number calculations Chapter Calculations with real numbersPage Using powers of 10 in entering data Page Hyperbolic functions and their inverses Using calculator menusReal number functions in the MTH menu Page Units menu Operations with unitsPage Attaching units to numbers Available unitsUnit prefixes Operations with units Unit conversions Quit Physical constants in the calculatorPage Defining and using functions Reference Definitions Setting the calculator to Complex modeChapter Calculations with complex numbers Entering complex numbers Polar representation of a complex number Cmplx menu through the MTH menu Simple operations with complex numbersCmplx menus Forms the complex number x,y out of real numbers x Cmplx menu in keyboard Functions applied to complex numbersFunction Droite equation of a straight line Page Entering algebraic objects Chapter Algebraic and arithmetic operationsSimple operations with algebraic objects Functions in the ALG menu Collect Operations with transcendental functions Expansion and factoring using log-exp functionsExpansion and factoring using trigonometric functions FACTORSSIMP2 Functions in the Arithmetic menuHorner function PolynomialsVariable Pcoef functionProot function FractionsQuot and Remainder functions Peval functionPropfrac function SIMP2 functionPartfrac function Fcoef function− 5X 2 + 3X − Step-by-step operations with polynomials and fractionsFroots function Reference Function Isol Chapter Solution to equationsSymbolic solution of algebraic equations Function Solve Page Function Zeros Function SolvevxNumerical solver menu Polynomial Equations Finding the solutions to a polynomial equationEnter vector of roots Generating an algebraic expression for the polynomial Financial calculationsFunction Steq Solving equations with one unknown throughSolution to simultaneous equations with Mslv Reference Page Creating and storing lists Chapter Operations with listsOperations with lists of numbers Changing signAddition, subtraction, multiplication, division Page Functions applied to lists Lists of complex numbersMTH/LIST menu Lists of algebraic objectsPage MAP function SEQ functionPage Typing vectors in the stack Chapter VectorsEntering vectors Storing vectors into variables in the stack Moving to the right vs. moving down in the Matrix Writer Using the Matrix Writer Mtrw to enter vectorsPress @GOTO@ 3@@OK@@ 3@@OK@@ @@OK@@ to move to position 3,3 Addition, subtraction Simple operations with vectorsAbsolute value function MTH/VECTOR menuMultiplication by a scalar, and division by a scalar Cross product MagnitudeDot product Reference Entering matrices in the stack Using the Matrix WriterChapter Matrices and linear algebra Typing in the matrix directly into the stack Operations with matrices Multiplication by a scalar Addition and subtractionMultiplication Cij = ∑aik ⋅ bkj , for i = 1,2,K, m j = 1,2,K, n Matrix-vector multiplicationMatrix multiplication Term-by-term multiplication Raising a matrix to a real powerInverse matrix Identity matrixFunction DET Characterizing a matrix The matrix Norm menuFunction Trace TrA = ∑aiiUsing the numerical solver for linear systems Solution of linear systems⎢x2 = ⎢1Solution by division of matrices Solution with the inverse matrixReferences Graphs options in the calculator Chapter Graphics= 1 exp− x Plotting an expression of the form y = fxPage Generating a table of values for a function Fast 3D plots Keep the default plot window ranges to read Reference Page Calc Calculus menu Chapter Calculus ApplicationsLimits and derivatives Function limLim f Functions Deriv and Dervx Anti-derivatives and integralsFunctions INT, INTVX, RISCH, Sigma and Sigmavx Xdx = F x + CDefinite integrals = ∑ Infinite seriesFunctions TAYLR, TAYLR0, and Series Reference Partial derivatives Chapter Multi-variate Calculus ApplicationsMultiple integrals Gradient Chapter Vector Analysis ApplicationsDel operator Curl DivergenceChapter Differential Equations Solution to linear and non-linear equationsCALC/DIFF menu Function LdecPage Variable Odetype Function DesolveLaplace transform and inverses in the calculator Laplace TransformsFunction Fourier Fourier seriesLf t= F s = 0∞ f t ⋅ e− st dt 2inπtFourier series for a quadratic function Reference Page MTH/PROBABILITY.. sub-menu part Chapter Probability DistributionsFactorials, combinations, and permutations − r +Random numbers Student-t distribution MTH/PROB menu partNormal distribution F distribution Chi-square distributionEntering data Chapter Statistical ApplicationsSample vs. population Calculating single-variable statisticsObtaining frequency distributions Page 195238095238 + 2.00857242857*X Correlation Covariance Fitting data to a function y = fxObtaining additional summary statistics Confidence intervals Page Hypothesis testing Page Reference Page Base menu Chapter Numbers in Different BasesWriting non-decimal numbers Formatting an SD card Chapter Using SD cardsInserting and removing an SD card Storing objects on the SD card Accessing objects on an SD cardPurging an object from the SD card Recalling an object from the SD cardSpecifying a directory on an SD card Purging all objects on the SD card by reformatting`#EQLIB #EQNLI Chapter Equation LibraryStep 30 ##¢0#- L *!!!!!!V0!!!!!+ Reference Limited Warranty W-2 Europe Asia Pacific Country Telephone numbers ServiceAmerica Country Telephone numbers Federal Communications Commission Notice Regulatory informationCanadian Notice Korean Notice