F = 3x-y+2z in newtons
the line that it follows is -x+y+2z
What is the work done
The Attempt at a Solution
I am guessing
I would assume that the x, y, and z are vectors.
As to the dot product, I have no clue. It would have been nice if it was ever covered....
So Work = -3x-y+4z
I had part of a class way back in Trig that vaguely talked about vector multiplication but since it was the day before the final it was considered a "bonus" lesson. Yeah, my physics professor, and the word teach don't exactly mix.
Or do the alpha characters just go away, and thus I would have zero as the answer
If, and I do stress the IF I am understanding your explanation of the dot product then it would follow like this:
Force = 3x-y+2z (technically the way it was stated is "component 3 is in newtons")
Line = -x +y+2z (also stated as "- is in meters")
Find the work, ergo W=F*d
I am assuming that when my professor put line, he meant straight, and that was the distance.
Therefore it should look something like
Force * line = work
which equals zero
P.S. all of the x, y, and z had the "carat" on top of them.