HP 35s User Manual

 
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HP 35s  Working with vectors 
 
 
 
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HP 35s  Working with vectors 
 
 
 
 
Vectors 
 
Practice solving problems involving vectors 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
hp calculators - 1 - HP 35s  Working with vectors - Version 1.0   

 
hp calculators 
 
HP 35s  Working with vectors 
 
hp calculators - 2 - HP 35s  Working with vectors - Version 1.0 
Vectors 
 
From a mathematical point of view, a vector is an array of 2 or more elements arranged into a row or a column. Physical 
vectors that have two or three components and can be used to represent physical quantities such as position, velocity, 
acceleration, forces, moments, linear and angular momentum, angular velocity and acceleration, etc. 
 
On the HP 35s, vectors are entered...

 
hp calculators 
 
HP 35s  Working with vectors 
 
hp calculators - 3 - HP 35s  Working with vectors - Version 1.0 
Example 3: Determine the magnitude of the vector [ 1 , 3 ].  
Solution: In RPN mode: !3%#&!$ 
*
*In algebraic mode: !$!3%#&* 
 Figure 3 
  
Answer: The magnitude is approximately 3.16, which is the length of the hypotenuse of the right triangle with sides 
of length 1 and 3. Figure 3 shows the answer in RPN mode. 
 
Example 4: Determine the dot product of [ 1 , 3 ] and  [ 3 , 1 ]...

 
 
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HP 35s  Writing a Simple Program 
 
 
 
 
Programming the HP 35s 
 
Practice example: the area of a circle 
 
Tools for programming 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

 
hp calculators 
 
HP 35s  Writing a Simple Program 
 
hp calculators - 2 - HP 35s  Writing a Simple Program - Version 1.0 
Programming the HP 35s 
 
Doing a simple calculation once on the HP 35s is easy. Doing the same calculation many times, or doing a complicated 
calculation, takes longer. It can be better to store all the steps needed for the calculation in a program. A program is a 
set of instructions, stored all together. Once it is written, it can be tested to see if it works correctly. Then it...

 
hp calculators 
 
HP 35s  Writing a Simple Program 
 
hp calculators - 3 - HP 35s  Writing a Simple Program - Version 1.0 
The program will look as shown in Figures 2 through 4 below. 
 
 Figure 2 
 
 Figure 3 
 
 Figure 4 
 
 Each line of the program begins with the letter of the label, and then has a four-digit line number. The rest 
of the program line is a function or a program instruction. The program instructions are LBL A and RTN, the 
functions are x ², ! and !.  
 
To use the program, it is...

 
hp calculators 
 
HP 35s  Writing a Simple Program 
 
hp calculators - 4 - HP 35s  Writing a Simple Program - Version 1.0 
 
 
 Figure 6 
 
 Figure 7 
 
 Figure 8 
 
 Figure 9 
 
The second line is an instruction to set algebraic mode, to make sure program B is not used accidentally in 
RPN mode. If the user always works in algebraic mode, or always remembers to switch to the right mode 
before using a program then this program line is not needed, but it is always safer to use it. A similar line,...

 
hp calculators 
 
HP 35s  Writing a Simple Program 
 
hp calculators - 5 - HP 35s  Writing a Simple Program - Version 1.0 
the new label’s name at the beginning of each line. Figure 7 shows an example of this; if both program A and program B 
were typed, then after the RTN in program B, the first line of program A is displayed on the calculator screen. 
 
 Figure 11  
Each label can be used only one time, and the HP 35s treats the lines from one label until the next label as a separate 
program. It is...

 
hp calculators 
 
HP 35s  Writing a Simple Program 
 
hp calculators - 6 - HP 35s  Writing a Simple Program - Version 1.0 
 If a user creates a new program on an HP 35s and then writes it down for future use, it is worth keeping a note 
of the checksum with the written program. That way, the program can be checked if it is typed into the HP 35s 
again later. 
 
 If a user wants to offer a program to other users, the checksum should be given with the program, so the other 
users can check if they have...