I don't understand how a scalar can be negative. Like work for example, how can this be - or + yet still be a scalar. I've read that scalars only have magnitude, while vectors have both magnitude and direction. As vague as these definitions seem, I reason that scalars wouldn't have any +/- sign attached to it since that would indicate somesort of direction. This is what doesn't make any sense to me. Also, this might be a little off topic, but in relation to speed and velocity, I've heard people say that speed is just the magnitude of velocity without any direction. This can be misleading to me because what if someone traveled all over yet started and ended in the same location, this would mean the speed would be some large value and velocity would be zero - but in regards to some people saying that speed is just the magnitude of velocity, wouldn't you then get two values for speed then (that large value and the absolute value of velocity)? This doesn't make any sense to me. Not to be an *******, but please try to break this down in a way that makes sense to someone with only a mathematics education up to calc. 2 (I really hate it when "brainiacs" try to explain something using terms and mathematical ideas that are way beyond my education level in such a way that doesn't even coherently make any sense). Thanks a ton for your help!