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Hello everyone. This is Tom from everystepcalculus.com and that everystepphysics.com. This is a video of Component of A onto B. That’s a vector problem in Calculus 3. Let’s do it. Index eight to get to my menu. Scroll up here. It’s all alphabetical. Component A onto B. If you wanted B onto A, you have to switch the vectors around. So Vector A.. we have to press Alpha before we enter anything in these entry lines here. Alpha 7, Alpha 1, Alpha minus 2. For the B vector, Alpha three, Alpha minus five, Alpha 2. I’ll always show you want you’ve entered. You can change it if you want. Here’s the vectors. These arrows here show that it’s a vector problem. I says it’s okay. And we’re going to scroll down here to. Notice all the things that those two vectors can do. Dot product, cross product. Here’s component A onto B. Here’s the formula. Dot product of A times B times the magnitude of B. So the dot product of A and B is 7 times 3, 1 times minus 5, minus 2 times 2, etc. Total is 12. And of course we have the B where we’ve got the the square root of these squares. They turned out to be 9, 25, and 4. 12 divided by 38, the answer is 6 square root of 38 dived by 19 units. Pretty neat, huh? Go to my site, subscribe so that you can see more videos of me if you want. Have a good one.

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