My friend asked me to help him with his homework, and I think I might have forgotten how to do it
They were all like
"Find a vector with given magnitude and in the same direction as the given vector"
So I think what you would do is this
Given the position vector
and the new vector in the same position must be of magnitude
Would I just do this
the new vector must be of the form
where is an abritrary constant, so now I just have to find that constant such that the new magnitude is
Would I do this by solving
For ?
And then the answer will be of the form
So should I then take the that when plotted goes in the same direction, because won't one of them be parallel but in the opposite direction?
If it's stated that the direction and the sense (for example, to the top) are the same as the original vector (which would be directed to the top too), you can say that . Otherwise, I'm afraid we would need more information.
But I'm not sure I understood correctly the question that your friend asked, what exactly is given, etc