Chapter 11, Problem 3PS

a.

To determine

Write a program for a graphing utility in which the output is component form of $u+v$ .

Answer to Problem 3PS

  

Explanation of Solution

Given information:

You are given the component forms of the vectors $u$ and $v$ Write a program for a graphing utility in which the output is component form of $u+v$ .

Calculation:

Start the program with press $\boxed{PRGM}$ and selecting 1:Create New followed by $\boxed{ENTER}$ . Name the program VECTOR and press $\boxed{ENTER}$ .

  

Now press $\boxed{ENTER}$ after each line you write.

Now write the program to addition of vectors $u=\left(u_1,u_2,u_3\right)$ and $v=\left(v_1,v_2,v_3\right)$

  

To write prompt press $\boxed{PRGM}$ and move the cursor over 2:Prompt Under I/O and press $\boxed{ENTER}$ press $\boxed{2nd},\boxed{LIST}$ and $\boxed{ENTER}$ .

  

To write Disp, press $\boxed{PRGM}$ and move the cursor over $3:Disp$ under I/O and press $\boxed{ENTER}$ . To write the Pause command, press $\boxed{PRGM}$ , and move the cursor over $8:Pause$ under CTL and press $\boxed{ENTER}$

Hence, the program has been written.

b.

To determine

Write a program for a graphing utility in which the output is component form of $\Vert u+v\Vert$ .

Answer to Problem 3PS

  

Explanation of Solution

Given information:

You are given the component forms of the vectors $u$ and $v$ Write a program for a graphing utility in which the output is component form of $\Vert u+v\Vert$ .

Calculation:

Write program for $\Vert u+v\Vert$ the magnitude of the resulting vector after addition of $u=\left(u_1,u_2,u_3\right)$ and $v=\left(v_1,v_2,v_3\right)$

  

To write sum press $\boxed{2nd},\boxed{LIST}$ and move the cursor over $5:sum$ under MATH and press $\boxed{ENTER}$ to pause the command press PAUSE.

Hence, the program has been written.

c.

To determine

Write a program for a graphing utility in which the output is component form of $\Vert u\Vert$ .

Answer to Problem 3PS

  

Explanation of Solution

Given information:

You are given the component forms of the vectors $u$ and $v$ Write a program for a graphing utility in which the output is component form of. $\Vert u\Vert$

Calculation:

Write program for $\Vert u\Vert$ the magnitude of the vector after addition of $u=\left(u_1,u_2,u_3\right)$

  

To pause the command press PAUSE.

Hence, the program has been written.

d.

To determine

Write a program for a graphing utility in which the output is component form of $\Vert v\Vert$ .

Answer to Problem 3PS

  

Explanation of Solution

Given information:

You are given the component forms of the vectors $u$ and $v$ Write a program for a graphing utility in which the output is component form of. $\Vert v\Vert$

Calculation:

Write program for $\Vert v\Vert$ the magnitude of the vector after addition of $v=\left(v_1,v_2,v_3\right)$

  

To write the end command press $\boxed{PRGM}$ and move the cursor oven $7:End$ under CTL and press $\boxed{ENTER}$

After writing the program press $\boxed{2nd},\boxed{QUIT}$ to return to home screen.

Now run or execute the program by following these steps.

STEP1. To choose the program VECTOR press $\boxed{PRGM}$ a screen will display.

  

STEP2.use the upper and lower arrow keys place the cursor over the program VECTOR under EXEC and press $\boxed{ENTER}$ followed by another $\boxed{ENTER}$ .

  

Now the program VECTOR is running and ready to enter the input to get the corresponding output.

Hence, the program has been run.