VectorCalc User`s Manual
Contents
1. Figure 1 1 1 shows a vector in three dimensional space and its decomposition along the three axes Copyright 2004 Multiology LLC Figure 1 1 1 Vector in three dimensional space The magnitude of a vector A is a scalar that represents the vector s length given by a 2 2 2 a a a where the small a s are the vector components A unit vector is a vector with a length of one in the direction of the original vector and it is the original vector divided by its magnitude ES A The sum of two vectors is a vector whose result is the addition of the individual components of the two vectors A B a b i a b j a b k Page 3 of 10 VectorCalc User s Manual In a similar manner the difference is A B a b i a b j a b k The distance between two vectors is the scalar magnitude of the difference between two vectors and is given by a b a b a b The dot product or inner product of two vectors is a scalar whose magnitude is the sum of the products of the vector components Ae B a b a b a b The cosine of the angle and therefore the angle between two vectors can be derived from the dot product and the magnitudes of the two vectors and is given by cosg AP Alp The cross product or vector product of two vectors is the vector Ax B a a a x b b b a b a b a b a b a b a b whi2. and all the associated documentation are protected by copyright Under no circumstances may the registered version of the Software be distributed to third parties without the express written consent of Multiology LLC Copyright 2004 Multiology LLC All rights reserved Multiology LLC Hot Sync is a registered trademark and Palm is a trademark of Palm Inc Third party brand and product names may be trademarks or registered trademarks of their respective holders Page 2 of 10 VectorCalc User s Manual VectorCalc User s Manual 1 0 Introduction VectorCalc is a Palm hosted program that performs several different vector calculations It is comprised of three different forms that display different calculated values Table 1 1 1 shows in which form each calculation appears bil hal Input or B Unit vector of either A A and or B ore aa B Distance between A A and B and B Dot product of A and B Cross product of A A and B and B Sum of A and B Difference between A AandB and B Table 1 1 1 Calculations Performed in VectorCalc A vector in three dimensional space is represented as a directed line segment has a magnitude and a direction and is composed of three separate components along the axes that define the three dimensional space known most commonly as either x y and z ori j and k A vector A can be represented in several different ways two of which are a a a or ai a jt a k
3. the mantissa and exponent will only accept numeric values 0 9 and a decimal point Values may be entered by either Graffiti strokes Page 5 of 10 VectorCalc User s Manual keyboard input for Palms equipped with a keyboard or the software keyboard which can be invoked from the edit menu or with the shortcut K The software keyboard and Graffiti help can only be accessed when the cursor is within one of the numeric entry fields 3 2 Program Control VectorCalc is composed of three main screens that are selected by the buttons labeled One Two and A B at the bottom of each screen The One button shows calculations requiring only a single vector i e the magnitude and unit vector Figure 3 2 1 If only one vector is entered only the magnitude and unit vector will be calculated for that vector The label nan not a number will show up if a vector is not entered for either A or B VectorCalc IMI A Magnitude B Magnitude a097 0928 33239 4131 Figure 3 2 1 The One Vector Screen The Two button shows calculations that require both vectors be input for valid answers to appear The angle between the two vectors in either degrees or radians depending on the selection in the Preferences menu the distance between A and B the dot product of A and B and the cross product of A and B are calculated here Figure 3 2 2 Copyright 2004 Multiology LLC VectorCalc ES
4. VectorCalc User s Manual www multiology com palm support multioloay com Bright Ideas Copyright 2004 Multiology LLC VectorCalc User s Manual VectorCalc License Agreement and Warranty Disclaimer CAREFULLY READ ALL OF THE TERMS AND CONDITIONS OF THIS AGREEMENT BEFORE USING THE SOFTWARE DELIVERED WITH THIS DOCUMENT BY INSTALLING AND USING THE SOFTWARE YOU INDICATE YOUR COMPLETE AND UNCONDITIONAL ACCEPTANCE OF THESE TERMS AND CONDITIONS This documentation is a legal agreement between you the purchaser and end user of the Software and the developer of the Software Multiology LLC concerning its use THIS AGREEMENT CONSTITUTES THE COMPLETE AGREEMENT BETWEEN THE PURCHASER AND MULTIOLOGY LLC 1 LICENSE Multiology LLC grants purchaser a non exclusive license to use the Software in the manner described in the materials accompanying it Multiology LLC retains title to and ownership of the software and the patents copyrights trade secrets and other proprietary interests therein Purchaser may make copies of the software for backup Purchaser may not make alterations or modifications to the software nor attempt to discover the source code of the software The software may not be sublicensed rented or leased Both the license and the right to use the software terminate automatically if purchaser violates any part of this agreement Purchaser may not disassemble decompile or otherwise reverse enginee
5. ___VectorA VectorB Figure 3 2 2 The Two Vector Screen The A B button shows calculations that generally require both vectors be input However if only the A vector is input then A B and A B will just be A and if only the B vector is input then A B will just be B and A B will be B Figure 3 2 3 VectorCalc ESS Figure 3 2 3 The A B Vector Screen Page 6 of 10 VectorCalc User s Manual The ClrA and ClrB buttons at the bottom of each screen simply clear out the input values for A and B respectively clear any data values associated with A or B and change all mantissa and exponent signs back to Rounding is not performed when results are displayed Therefore if the accuracy of the last displayed digit is important then more numbers after the decimal should be used set with the Fix of Digits on the Preferences screen 3 3 Program Preferences The preferences dialog allows the user to change the way VectorCalc looks and the way it calculates data Figure 3 3 1 Vectorcoic BR Angle in 7 Degrees O Radian Fix of Digits 4 Figure 3 3 1 Preferences Screen The Radians Degrees checkbox determines in which units the Angle Between A amp B field will be This value will be updated immediately upon returning to that screen The default value is Degrees The Fix of Digits popup will fix the number of digits display
6. amages Purchaser agrees that Multiology LLC and its distributors liability arising out of contract negligence strict liability in tort or warranty shall not exceed any amount paid by purchaser for this software Any written or oral information or advice given by others will in no way increase the scope of this warranty nor may purchaser rely on any such written or oral communication Paying the license fee entitles purchaser to use the registered version of the Software but it does not reduce the limitations outlined in this disclaimer Multiology LLC will accept no responsibility for any damages purchaser may suffer because of data lost through the use of the Software No responsibility will be accepted for any loss of use of any software or hardware resulting from the use of the Software Neither will any responsibility be accepted for damages resulting from incorrect incomplete or misleading information being generated by the Software 4 OTHER TERMS AND CONDITIONS Users of the Shareware version of the Software are entitled to use that version on as many Palm OS handhelds as they choose They are also permitted to copy the files and distribute them to others so long as the complete and unchanged files are distributed Users of the Software who pay the license fee and become registered users are entitled to install and use the registered version of the Software on one Palm OS handheld for each license fee paid The Software
7. ch can be written as a da d b b a d k b b N N e l A AxB j 2 3 or more compactly written as i j k AxB l a a al b b ba The resulting vector from a cross product is always perpendicular to the original two vectors and its direction can be determined from the right hand rule Copyright 2004 Multiology LLC Vectors form the basis for much of our science and mathematics For more detailed information on the definition and use of vectors the reader should consult any good textbook on mathematics physics or one of the other sciences that uses them 2 0 installation and Removal 2 1 System Requirements VectorCalc is designed to run on any Palm handheld that runs version 3 0 or greater of the Palm operating system If an operating system is in use that is lower than version 3 0 then an Alert dialog will appear and the application will exit VectorCalc requires that MathLib be installed which is a free PalmOS shared library that provides a full set of IEEE 754 double precision math library functions for Palm applications to use If MathLib is not installed an alert screen will appear as shown in Figure 2 1 1 and VectorCalc will exit when the OK button is pressed There is however a good chance that MathLib is already installed on your system if so there is no need to install it again The MathLib prc file is included with this distribution of Ve
8. ctorCalc so it may be installed along with VectorCalc if needed It can be used with any OS 2 0 Palm program It is distributed under the terms of the GNU Library General Public License and it freely available with full source code and documentation at the MathLib Information web page It is not a part of the VectorCalc program and you are not paying anything for its use a copy is simply included in this archive for your convenience Page 4 of 10 VectorCalc User s Manual nTathl ib Not Loaded ix Mathlib must be synced to your Palm for YectorCalc to work Please see readme file Figure 2 1 1 Alert Screen if MathLib Not Installed 2 2 New Installation If MathLib is already installed on your system the only file that needs to be synced to your Palm is the VectorCalc prc file and it installs the same way as all other Palm applications If MathLib is not already installed it must be installed along with VectorCalc Both MathLib and VectorCalc may be installed by just double clicking the appropriate prc file either VectorCalc prc or MathLib prc or using any of the install tools that are available for the Palm Once this is done a hotsync should be performed to transfer one or both to the Palm 2 3 Program Removal To remove VectorCalc from your handheld simply go to the Application launcher tap your handheld s Applications button on the Palm select the Delete menu choice from the App men
9. ed after the decimal for each calculated field For example if 4 is chosen then four places to the right of the decimal will display This formatting will only take effect after the Calculate button is Copyright 2004 Multiology LLC again pressed One to nine digits may be specified and the default value is 4 The Separator choice specifies how the screen is divided up with separators The screen shots below Figures 3 3 2 through 3 3 4 show the three alternatives for the separators The default value is Level 2 Figure 3 3 2 None Separators Option Page 7 of 10 VectorCalc User s Manual VectorCalc i Figure 3 3 4 Level 2 Separators 3 4 Program Help At any time the About VectorCalc menu item can be selected from the Options menu and the Help button chosen to display online program help Alternatively the i button in the upper right hand corner may be chosen to display the same help Copyright 2004 Multiology LLC screen Figure 3 4 1 shows the About VectorCalc screen VectorCalc Version 1 0 Copyright 2004 Multiology LLY WwW multiology com palm Figure 3 4 1 About VectorCalc Screen 3 5 VectorCalc Registration Once VectorCalc is installed the user will have 15 days in which to evaluate the software Each time the software Is invoked during this 15 day period a reminder will appear to let the user know
10. g will appear stating that the software has already been registered 4 0 Release History VectorCalc 1 0 February 1 2004 e Initial version Page 9 of 10 VectorCalc User s Manual 5 0 Contact Us We appreciate your use of our software We solicit your input regarding your experiences with VectorCalc and welcome any feedback positive or negative Our contact information is below 5 1 Website www multiology com palm 5 2 Email Web page issues webmaster multiology com Customer service suoport multiology com T 5T OLOGY ov Bright Ideas Copyright 2004 Multiology LLC Page 10 of 10
11. how many days remain for evaluation Figure 3 5 1 After this 15 day period is up the software will become disabled The words Expired will be displayed in all the input fields and the Calculate button will insert zero values into all the calculated fields Figure 3 5 2 Page 8 of 10 VectorCalc User s Manual Trial Version TM OLOGY There are 30 days remaining on this unregistered version of VectorCale Figure 3 5 2 Expired Application To register VectorCalc visit either www handango com or www palmgear com and purchase a license search for VectorCalc The purchaser will have to supply the exact HotSync ID of their device which is displayed on the registration screen Copyright 2004 Multiology LLC for VectorCalc An unlock code will be generated and sent to the purchaser by email This code must then be entered in the input field at the bottom of the VectorCalc registration screen Figure 3 5 4 To get to this field choose the Register option from the Options menu Enter your registration code exactly a5 provided Figure 3 5 4 VectorCalc Registration Screen The registration screen may be displayed by selecting either the Register menu item from the Options menu or selecting the About VectorCalc menu item from the Options menu and then selecting the Register button If the software has previously been registered a dialo
12. r the Software or otherwise attempt to learn the inner workings source code structure algorithms or ideas underlying them 2 LIMITED WARRANTY If faults are discovered in the file s in which the software or the accompanying materials are distributed Multiology LLC will for a period of ninety 90 days after purchase replace the file s Within the warranty period Purchaser must provide Multiology LLC with proof of purchase Multiology LLC and its distributors disclaim all implied warranties including without limitation warranties of merchantability or performance and fitness for a particular purpose Multiology LLC and its distributors will not be liable for any bug error omission defect deficiency or nonconformity in any software As a result the software is sold as is and purchaser assumes the entire risk as to its quality and performance 3 LIMITATION OF LIABILITY Multiology LLC and its distributors shall in no event be liable for direct indirect special incidental contingent or consequential damages resulting from any defect in the software or its accompanying materials including damages from loss of data downtime Copyright 2004 Multiology LLC goodwill damage to or replacement of equipment or property and any costs of recovering reprogramming or reproducing any program or data used in conjunction with the software even if one or more of them has been advised of the possibility of such d
13. u and then select VectorCalc Then confirm your choice when the Delete the VectorCalc application and all data alert appears 3 0 VectorCalc Use 3 1 Data Input Each screen in VectorCalc is divided into two main areas the data input area at the Copyright 2004 Multiology LLC top of each screen and the calculated data output area at the bottom of each screen Figure 3 1 1 Data is entered into the X Y and Z components of Vector A and or B at the top and once the Calculate button is pressed the remaining fields are filled in on the current screen The same data input fields appear in all three screens There are up to four actions that may be taken with each input value i e the X field for Vector A 1 Changing the sign of the mantissa 2 Entering the value of the mantissa 3 Changing the sign of the exponent 4 Entering the value of the exponent TETTA iii MX Alagnitude B Magnitude Figure 3 1 1 Initial Launch of VectorCalc The sign for the mantissa or exponent may be changed by clicking on it and this will toggle the value from plus to minus or vice versa Placing the cursor in either the mantissa field or the exponent field will automatically place the Palm into numeric entry mode and is particularly useful for those using keyboards On some Palm models the graffiti shift indicator in the lower right corner of the screen will denote this numeric shift The fields for
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