Recent content by David B

Hello the first note is true, $$ \frac{x_1 y_1 + x_2 y_2}{x_1 z_1 + x_2 z_2} = \frac{y_1 + y_2}{z_1 + z_2}. $$ is totally wrong and now I understood. For your second note, I used the following: and I just assumed m is replaced insted of k, j, i respectively. whats the problem with it? And for...

We assume vectors have the following tensor notation: After simplifying numerators with denominators we have And we know that the permutation symbol has the following characteristic (I also mentioned on vector algebra): So we have And I assumed that (from permutation symbol characteristics)...

Homework Statement Hello everyone, can anyone help me prove this using tensors? Given three arbitrary vectors not on the same line, A, B, C, any other vector D can be expressed in terms of these as: where [A, B, C] is the scalar triple product A · (B × C) Homework Equations I know that...