Creating the Program<\/h3>\n
To create a program, press the\u00a0prgm<\/i>\u00a0button and scroll over to\u00a0NEW<\/strong>. You can name it whatever you like, but it\u2019s wise to name it something related to its function. I will name it VECTORS.<\/p>\n To begin, we need to prompt the user for the values of the two vectors. Use the\u00a0Input<\/em> command to collect the x, y, and z values for two vectors (u and v). Before doing so however, we should clear the home screen and erase all stored lists because we will be storing stuff there later. The\u00a0ClrAllLists<\/em> command can be found in the catalog (2nd<\/i> \u2192 0<\/i>).<\/p>\n Once the user inputs the vector values, we should clear the home screen and prompt which mathematical operation they want to perform. Do this by creating a menu. The Menu(<\/em> command is found by pressing prgm<\/i> while in the code editor. Inside the menu, first create a title, and then add each menu option followed by a variable to be used as a label. Make sure you are using unique variables for each option. To mark the start location for each label, use the Lbl<\/em> command found under prgm<\/i> as well. Here we can perform the necessary calculations to solve for each operation. Since 3 of the 4 options produces a vector, we can print that value at the end of the program to save memory. We can instruct the program to jump to a different place in the code using the Goto<\/em> command to jump to a different label. Because the dot product produces a scalar value, we can print the value right away and then stop the program using the Stop<\/em> command.<\/p>\n For the vector answers, it may also be helpful to know their magnitude and unit vector. Because we stored the vector in list L\u2081, we can easily calculate and output the values. For the unit vector, I rounded each value to 4 decimal places to make the result cleaner, but feel free to remove that and just print L\u2081\/M. The final Disp<\/em> command is just used for aesthetics to provide some space at the bottom of the result.<\/p>\n It’s now time to test it! Try finding the cross product of <5 -3 1> and <-1 2 -1>. Run the program and input the correct 6 values. Next, the menu should appear. Select the last option. If successful, you should find the result to be <1 4 7>. The magnitude of this vector is 8.124 units and the unit vector is <.123 .492 .862>. To confirm all the code is correct, try testing all four operations.<\/p>\n Tired of calculating vector cross products or unit vectors by hand? This handy program allows you to input two vectors … <\/p>\n![\"vectors](\"https:\/\/calcking.com\/wp-content\/uploads\/2018\/03\/1.jpg\")
<\/p>\nCoding the Program<\/h3>\n
: ClrHome
\n: ClrAllLists
\n: Input \"U1= \",A
\n: Input \"U2= \",B
\n: Input \"U3= \",C
\n: Disp \"\"
\n: Input \"V1= \",D
\n: Input \"V2= \",E
\n: Input \"V3= \",F<\/code><\/p>\n: ClrHome
\n: Menu(\"OPERATION\",\"U+V\",G,\"U-V\",H,\"U\u2022V\",I,\"U*V\",J)
\n: Lbl G
\n: {A,B,C}+{D,E,F}\u2192L\u2081
\n: Disp \"U+V=\"
\n: Goto L
\n: Lbl H
\n: {A,B,C}-{D,E,F}\u2192L\u2081
\n: Disp \"U-V=\"
\n: Goto L
\n: Lbl I
\n: sum({A,B,C}*{D,E,F})\u2192K
\n: Disp \"U\u2022V=\"
\n: Output(1,6,K)
\n: Stop
\n: Lbl J
\n: BF-CE\u2192L\u2081(1)
\n: CD-AF\u2192L\u2081(2)
\n: AE-BD\u2192L\u2081(3)
\n: Disp \"U*V=\"
\n: Goto L
\n: Lbl L
\n: Output(1,6,L\u2081)<\/code><\/p>\n: Disp \"MAG=\"
\n: \u221a(sum(L\u2081\u00b2))\u2192M
\n: Output(2,6,M)
\n: Disp \"UNIT=\"
\n: Output(3,7,round(L\u2081\/M,4))
\n: Disp \"\"<\/code><\/p>\n![\"vector](\"https:\/\/calcking.com\/wp-content\/uploads\/2018\/03\/2.jpg\")
<\/p>\nRunning the Program<\/h3>\n
![\"vector](\"https:\/\/calcking.com\/wp-content\/uploads\/2018\/03\/3.jpg\")
<\/p>\nComplete Code<\/h3>\n
: ClrHome
\n: ClrAllLists
\n: Input \"U1= \",A
\n: Input \"U2= \",B
\n: Input \"U3= \",C
\n: Disp \"\"
\n: Input \"V1= \",D
\n: Input \"V2= \",E
\n: Input \"V3= \",F
\n: ClrHome
\n: Menu(\"OPERATION\",\"U+V\",G,\"U-V\",H,\"U\u2022V\",I,\"U*V\",J)
\n: Lbl G
\n: {A,B,C}+{D,E,F}\u2192L\u2081
\n: Disp \"U+V=\"
\n: Goto L
\n: Lbl H
\n: {A,B,C}-{D,E,F}\u2192L\u2081
\n: Disp \"U-V=\"
\n: Goto L
\n: Lbl I
\n: sum({A,B,C}*{D,E,F})\u2192K
\n: Disp \"U\u2022V=\"
\n: Output(1,6,K)
\n: Stop
\n: Lbl J
\n: BF-CE\u2192L\u2081(1)
\n: CD-AF\u2192L\u2081(2)
\n: AE-BD\u2192L\u2081(3)
\n: Disp \"U*V=\"
\n: Goto L
\n: Lbl L
\n: Output(1,6,L\u2081)
\n: Disp \"MAG=\"
\n: \u221a(sum(L\u2081\u00b2))\u2192M
\n: Output(2,6,M)
\n: Disp \"UNIT=\"
\n: Output(3,7,round(L\u2081\/M,4))
\n: Disp \"\"<\/code><\/p>\n","protected":false},"excerpt":{"rendered":"