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## Vector Function on TI-89 & Titanium

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## Given Vectors A&B find Projection A on B-Video

## Find the gradient of

f(x,y,z)=x^2+y^2-4z, at the point (2,-1,1)

## Unit Vector with P & Q Points Q to P

## Unit Vector With P&Q Points-Video

## Length of a Vector Using P&Q Points-Video

## Magnitude of a Vector P&Q Points-Video

## Dot Product of AxB Vectors-Video

## Vectors-Magnitude of A times B

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Hello, everyone. Tom from everystepcalculus.com and everystepphysics.com. This is an everystepcalculus.com problem. And with my programs. Question on vectors. Let’s get started. Index 8 to get to my menu. Choose A and B vectors. This is a Calculus 3 problem. This student wanted to know how to find the magnitude of A times B. He could get the cross product but he do the magnitude of it. So, let me know you how to do that. You have to enter Alpha before you enter anything into these entry lines, here. So, Alpha minus 2. Alpha one. Alpha one. For the B Vector. Alpha 2, Alpha 1. Alpha 1. So we check see if that’s the vectors that you want. I say it’s okay. A times B is the cross product so we’re going to go to here, A times B. Matrix Multiplication. Write this on your paper, exactly as you see it. There’s the Cartesian System. Notating a vector. Right here. And here’s the answer for the cross product. Zero, four, four. So, we have one vector now which is 0 for X, 4 for Y, and minus four for Z. So now we’re going to go down and we’re gonna find new AB vectors. As we need to put a new vector in for A. So the answer was Alpha zero, Alpha four. That’s for the cross product. Alpha minus four. And we can just quickly go through these because there is no vector for B of A. So now we’re going to go up here and find magnitude of, magnitude of A, number 2. Choose that. This is the way you notate it, it’s got these two lines on the side. It’s called the magnitude of A. Do these calculations. Notice the square root of x square, y squared, z squared and we come up with 5.66 units. Pretty neat, huh? everystepcalculus.com. Have a good one.

## Cross Product A & B Test Question Example-Video

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Hello, everyone. Tom from everystepcalculus.com and everystepphysics.com. Cross Product with regards to A and B Vectors. It’s a Calculus 3 Vector problem. Let’s do it. Index 8 to get to my menu. We’re going to scroll to Cross Product. Add the vectors. Alpha 8. You have to add Alpha before you enter anything into my menus. Alpha 9, Alpha minus 4. That’s vector A. Vector B is Alpha minus 7, Alpha 8, Alpha minus 3. I always show you what you’ve entered. You can change it if you want. I say it’s okay. We’re going to scroll down to Cross Product. There’s Cross Product. A times B cross product and B times A cross product. Whichever one, they’re different. We’re going to do A times B. And it’s a matrix situation, that’s for sure. So you write these down. Make sure that you keep these in the rows that you have. Make sure you write exactly what you see, here. All these equations. This is I J, and K. That’s a different vector format. 5, 52j, 127k. and here’s the vector situation with the arrows here. 5, 52, 127. Pretty neat, huh? That’s a tough problem if you don’t have a programs, if you don’t know what you’re doing. Especially on a test or something. Go to my site, subscribe so you can see more videos. Have a good one.

## Cosine A & B Test Question Example-Video

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Hello, everyone. Tom from everystepcalculus.com and everystepphysics.com. I’m going to do a problem for Cosine of A & B which is a Calculus 3 problem in Vectors. Let’s do it. Index 8 to get to my menu. There’s cosine of A and B, here. I’m going to add the vectors. Press Alpha first. Alpha 7, enter. Alpha minus 9, enter. Alpha minus 8, enter. Second vector B. Alpha minus 12, Alpha 8, Alpha minus 6. I always show you entered so you can change it if you made a mistake. I say it’s okay. And we’re going to scroll down here to the C’s. And there’s cosine of A and B. Here’s the formula. Dot product of A and B divided by the magnitude of A and the magnitude of B. So here’s the system that you write on your paper. Multiply this times this. And then we’re doing the magnitudes of A which is the square root of all these squares here and same thing with B. You want to try this without the program, go right ahead. It turns to be minus 108 over the square root of 194 times the square root of 244. Square root of 47 thousand. Cosine of minus 1 arc cosine of this here equals approximately 120 degrees, 2.09 radians. Go to my sites, subscribe so you can see more videos, if you want. Have a good one.Have a good one.

## A & B Vector Solutions

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Hello, everyone. Tom from everystepcalculus.com and everystepphysics.com. A and B vectors. This is Calculus 3, usually. Let’s get started. Index 8 to get to my menu. You’re going to have A anB vectors choose number two here. We’re gonna add the vectors. You have to press Alpha before you enter anything into my entry lines. Alpha 9. That’s the X value. If we have all the X and Y than just put zero in for Z. Alpha minus five alpha 7. That’s the first vector. Now we’re going to do the B vector for XYZ. Alpha 15 Alpha minus 4 Alpha 6. I always show you what you’ve entered. These arrows here are vectors; notations. I say it’s okay. Now you have all these choices. For instances, you want to subtract them, you choose number 4. Try this without this program if you want to try it. You’re going to mess up a minus sign. That’s what I always did or something. Got something wrong . number seven magnitude. The magnitude is this vector plus this vector. You have to that and then you have to take, then you have to multiply or use the under the square root sign. Square root of x squared y squared Z squared. Turns out to be twenty eight point seven four units. If you do number 8 . That’s for three vectors. I’ll ask you to enter the C vector. Scroll down here to cosine of A and B. That’s always fun to do. In other words, the angle between the vectors. That turns out to be this formula here. A times B times the magnitude. Add all this exactly on your paper. It’s just the way you do that computations yourself. Turns out to be 18.1 degrees and point 315 radians. Pretty neat, huh? everystepcalculus.com Go to site, subscribe for more videos. Thank you.

## Vector Cross Product on TI-89-Video

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This is a calculus calculator program or App for vector cross product using the TI-89 calculator to get to my main menu you press second alpha to enter the letters i_n_d_e_x and then press alpha again to enter the 8 and open and close parentheses press enter and you into my menu you have many choices in this menu difference quotient dot product eliminating the parameter equation of a line all kinds of choices for calculus one two and three here’s e to the ex derivative we’re gonna demonstrate the cross product here so we’re gonna scroll up to cross product press enter and were going to enter our two vectors you have to press alpha before you enter any variables in this calculus calculator program enter 8 alpha :00 alpha minus 9 here is the B vector alpha five alpha seven alpha 3. I’ll show you what you’ve entered you can change it if you want and we have another menu comes up which is all you can do with these vectors B minus A A times dot product or A times B dot product equation of a plane component of A direction of U. I’m gonna do you can do AB cross product or BA cross product lets do AB and here’s the vectors that your multiplying time its a matrix multiplication when you write everything down in your paper in this calculus calculator program just as you see it on the screen here to get an A on this problem pretty neat huh, EveryStepCalculus.com goto my site enjoy my programs and pass calculus.

## Vector Dot Product

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## Pre Calculus Help | Vectors | Cross Product | TI89 Software App

**Pre Calculus Help Video: Vectors**

**How the TI89 solves preCalc A & B Vectors:**

- Bring up the menu and scroll to A & B Vectors
- Enter the vectors or the variables of the two vectors
- The program shows you what’s entered and asks if you would like to change it
- Scroll and choose what you would like to solve: A,B Magnitude, A-B Magnitude, A+B Magnitude, A+B+C, Cross Product, B-A, A * B dot product, Area of Parallelogram
- View answer with all work shown

**Raw Transcript**

Hey this is tom the calculus and physics guy who programs the TI89 calculators and other calculators for the TI system. uh…today or this video I’m going to be talking about or showing you how fabulous my programs work on vectors my site is EveryStepCalculus.com and enjoy my program.

This is two vectors in space uh… starting from the origin to x_y_z_ uh… points you notice we start again from the index8() and in the home screen to get to my programs and up comes a menu with all these different types of things that you can compute and we want to do the vectors today so we’re gonna do a-b and vectors.

We add the first one is it asking for thex_y_z_ point of the first vector uh… vector a again and x_y_z_ and alpha 8 alpha minus seven, alpha minus three, vector b alpha six, alpha minus five, alpha seven shows us what we have if that’s correct and you can go here and press ok.

Now you notice they have the magnitude of vector a choose that one and you can see where the magnitude comes to eleven units uh… shows you how to do it eight squared you know square root of 8 squared minus seven squared minus three squared.

Go back vector B same thing press the this shows you how to do that part uh… a minus b all these different vector calculations come up I wanted to do them when I was in college quickly and not waste time with it and get them exactly accurate.

Vector a minus b is 2 minus b minus 10 if you want to find the magnitude of a minus b you can go a minus b and find that the shows you how to do exactly that putting in the variables dot product and then we’ll move on here got all these different choices.

A cross product…length B times a cross product B times A there’s a difference uh… constants against a times b times a area of a parallelogram component of A in direction of B equation of a plane all these things cross product is pretty cool ’cause that’s a matrix system and shows you there and then does all the calculations for you and there’s the in the cartesian system i j k system or the vector system with the arrows on the ends of it. Pretty neat huh? Enjoy my programs at EveryStepCalculus.com.

## Vector Dot Product | Calculus App | TI89 | EveryStepCalculus

Video Transcript

This is a pre calculus help video on vector dot product, actually a program app for the ti 89 titanium calculator. To get to my main menu. You press 2nd alpha to enter the letters I n d e x and then press alpha to enter the eight and the closed parenthesis you Press ENTER and you’re into my main menu. You scroll to where your choice is, right now you want to know how to do vector dot product so we’re going to scroll to dot product in my menu. Press ENTER now we need to add the vectors or the variables of the two vectors and so follow along as I do that you have to press alpha first alpha eight for the x alpha minus three alpha minus nine alpha seven alpha five alpha minus two. I show you what you’ve entered you can change it if you want I say it’s ok. And you can do many things with these two vectors but today we want to do vector dot product so Im going to scroll up to A B times dot product heres the way you notate the vector with a dot in between to show that your doing a dot product heres your vectors 8 times 7 minus 3 times 5 minus 9 times minus 2 and that calculates to 56 plus minus 15 plus 189 which is 59, pretty neat huh everyStepCalculus.com. Got to my site, enjoy my programs, and pass calculus.

## Calculus -Vectors – Program App – TI-89 Titanium Calculator

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This is a video on vectors, and let’s get started here. You have to press second alpha to get to the letters of my menu code, i n d e x and then press alpha again and put in the eight and the closed parenthesis, and press enter and you are into my program, you’ll notice you can scroll down to get to the a b c’s of the beginning of it a and b vectors but you know that’s also goes to vectors but we can go, scroll down in case you want to call it just plain vectors, and we’re going to press enter and get into the vectors program. Press alpha before you put anything in here, were going to press alpha eight, alpha minus twelve, alpha nine, for vector b, the x y z coordinates, we’re going to put in alpha seven, alpha minus thirteen, and alpha minus fifteen, I tell you what you’ve entered so you can change it if you want, I say it’s ok, I’m going to press number one and we’re into all the different functions, if you want to find the magnitude of vector B, press three, and do the calculations, shows you what your doing here and you get absolutely do all the calculations, square root et cetera. We can go a plus b, number 6, a plus b, eight twelve, et cetera, come up with the a plus b answer. We can have a plus b plus c it’ll, three vectors find their resultant and components. We have to enter the vector c, alpha eight, alpha six, alpha minus two and again check whether we’re doing it, vectors a b and c , resultant, b minus a et cetera, let’s do the cosine, cosine between a and b, that’s the formula there, you write all this stuff on your paper of course, and we’re doing the dot product of it and then we’re doing the rest of the calculations, does all of the calculations for you, and gives you in radians or degrees. Pretty neat huh? Everystepcalculus dot com. Check out my site and purchase the programs if you want, and enjoy my programs.

## Vectors Video

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Hey this is tom the calculus and physics guy who programs the TI89 calculators and other calculators for the TI system. uh… today or this video I’m going to be talking about or showing you how how fabulous my programs work on the vectors my site is EveryStepCalculus.com and enjoy my program this is two vectors in space uh… starting from the origin to x_y_z_ uh… points you notice we start again from the index 8 and in the home screen to get to my programs and up comes a menu with all these different types of things that you can compute and we want to do the vectors today so we’re gonna do a-b and vectors we add the first one is it asking for the x_y_z_ point of the first vector uh… vector a again and x_y_z_ and alpha 8 alpha minus seven alpha minus three vector b alpha sixalpha minus five alpha seven shows us what we have if that’s correct and you can go here and press oknow you notice they have the magnitude of vector a choose that one and you can see where the magnitude comes to eleven units uh… shows you how to do it eight squared you know square root of 8 squared minus seven squared minus three squared go back vector B same thing press the this shows you how to do that part uh… a minus b all these different vector calculations come up i wanted to do them when i was in college quickly and not waste time with it and get them exactly accurate vector a minus b is 2 minus b minus 10 if you want to find the magnitude of a minus b you can go a minus b and find that the shows you how to do exactly that putting in the variables dot product and then well move on here got all these different choices A cross product…length B times a cross product B times A there’s a difference uh… constants against a times b times a area of a parallelogram component of A in direction of B equation of a plane all these things cross product is pretty cool ’cause that’s a matrix system and shows you there and then does all the calculations for you and there’s the in the cartesian system i j k system or the vector system with the arrows on the ends of it uh… pretty neat huh enjoy my programs at EveryStepCalculus.com.