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.