So, I'm assuming that scalars are what I'm used to working with in math. You add, subtract, multiply, etc.; they follow the rules I know. 1 + 1 = 2. Scalar = Magnitude Vector = Magnitude and Direction Now, how do magnitude and direction coexist? Right now I'm just seeing some scalar volume cube being moved in a certain direction. What is the vector DOING? Can you provide me with a solid example of vectors at work? A vector measures displacement... the distance from start to ending point. So how can they have arrows indicating their direction? They must be finite, but they look like rays. It doesn't matter where you put a vector on cartesian or polar coordinates... but then we're supposed to calculate the vector using scalar components. If Vector C is 5 long, how can the square root of (really big number A squared) + (really big number B squared) equal really small number 5? In addition, what ARE vectors? I mean, why are we taking the displacement instead of the distance, and adding some angle?