noname:
Sorry to dissappoint you, I don't flame people. Not my style.
But I will take up your self described "petty" argument since you seem to want to continue it.
First---Yes, I posted the following (with source stated in the original post)
""VECTOR - Physics: a physical quantity that has both a magnitude and a direction and that adds like displacement; velocity, acceleration, and force are prime examples."
to which you responded -
"ie, velocity is an example of a vector."
...and in the sense of current Quantum physics (see below) this is how it is viewed. But it is not the definition nor the usage Einstein used in the equation posted by TimeMaster 1a.
Eienstein used the following definition (which I also posted)
"VELOCITY - Mechanics: the time rate at which a body changes its position vector; velocity is a vector quantity whose magnitude is expressed in units of distance over time, such as miles per hour."
to which you responded -
"ie velocity is a vector quantity. this means that it has both a magnitute and a direction."
No it doesn't. Not in THIS definition.
Nor an any other usage as originally posted from the Harcourt which I used as my source. Being a vector quantity does not make it synonymous with vector, merely one quantity OF it. As such in THIS definition, Vector is composed of TWO quantities. Velocity AND Direction. Velocity is one, Direction is the (separate) other.
THIS my friend is first year mechanics. The classic definition and the one in which Einstein was referring to in the Time Dilation equation. Which is really the issue of this debate in the first place. Einstein is even clear in this by iterating this in his own explanation of it. Which TimeMaster 1a posted, but seems to have missed entirely.
The physics definition above as it is used today (where velocity and vector get muddled together) describes the measurable charactistics of sub-atomic particles. It only ever applies at that level. But then Quantum Physics has it's own set of rules it seems doesn't it.
When we can acurately overcome the problem of the Heisenberg Principle we'll be able to re-separate the two terms back into their proper perspective. It's actually due TO the HP that we are forced to muddle them in Quantum Theory since we cannot at the present time acurately measure a particle's position (which would yield it's direction with a subsequent measurement), AND it's speed at the same time. Some day, we will be able to. Until then, knowing both at any instant is a crap shoot. Hence the muddle.
There is no other arena where the semantics of these two terms are interchangable. Please read ALL the definitions I provided and look even further into the links also if you wish.
If you provide verifiable CREDIBLE (links, specific published authorities, by name and quote,etc.) evidence to the contrary, then I'll stand corrected. But then we'll BOTH have to see why evidence to the contrary contradicts the Harcourt won't we. If we're interested in doing good science that is. And I'm sure we are.
Because if you find it, then somebody else is mistaken besides just you or me. Either the Harcourt Scientific Dictionary, or your source. And it really SHOULD be cleared up for the sake of others. Wouldn't you agree?
Peace.