I am watching Khan Academy Linear Algebra series and I am really getting confused when Sal writes some sort of equation for the vector, such as $v = ai + bj + ck$. I understand that vector $v$ should be of the form $(x, y, z, ...)$. Sal talked about vectors as lines... so it might be related to some definition of a line on the plane, but I am not really sure. I will appreciate your clarification!
Thanks for help!