Prof. Denis Auroux Transcrição (em inglês): Remember last time — – we learned about the cross product of vectors in space. Remember the definition of cross product is in terms of this determinant det| i hat, j hat, k hat, and then the components of A, a1, a2, a3, and then the components of B| This is not an actual determinant because these are not numbers. But it’s a symbolic notation, to remember what the actual formula is. The actual [...]
Prof. Denis Auroux Transcrição (em inglês): Thank you. Let’s continue with vectors and operations of them. Remember we saw the topic yesterday was dot product. And remember the definition of dot product, well, the dot product of two vectors is obtained by multiplying the first component with the first component, the second with the second and so on and summing these and you get the scalar. And the geometric interpretation of that is that you can also take the length [...]
Prof. Denis Auroux Transcrição (em inglês): So, let’s see, so let’s start right away with stuff that we will need to see before we can go on to more advanced things. So, hopefully yesterday in recitation, you heard a bit about vectors. How many of you actually knew about vectors before that? OK, that’s the vast majority. If you are not one of those people, well, hopefully you’ll learn about vectors right now. I’m sorry that the learning curve will [...]
Flickr
Copyright © 2012 A Casa da Matemática. Todos os direitos reservados.
Assine
Siga-nos
Facebook
e-mail
twitter
facebook
youtube