Why do we automatically assume that the velocity vector $\vec{v}$ and location vector $\vec{r}$ are independent?
7149
Calculus of variations -- how does it make sense to vary the position and the velocity independently?
12092
When can one write $a=v \cdot dv/dx$?
75259
Why is velocity squared in kinetic energy?
76297
What is the inverse of the $\mbox{vec}$ operator?
61198
Are Position and Velocity (or Velocity and Acceleration) Vectors Always Parallel?
152147
Why is a set of orthonormal vectors linearly independent?
125082
Why is force a vector?
136184
Why we dont have "direct" velocity operator just as $p$? ( as use $p$ space not $v$? ) in quantum mechanics?
994
Linear independence of vectors that form non-square matrix
66500
Proving that orthogonal vectors are linearly independent
142028
If $\vec{a},\vec{b},\vec{c},\vec{d}$are unit vectors, $(\vec{a}\times\vec{b}).(\vec{c}\times\vec{d})=1$ and $\vec{a}.\vec{c}=\frac{1}{2}$,then
46358
geometric interpretation of $\vec v \cdot \operatorname{curl} \vec v = 0 $
116821
Does velocity add like vectors?
30032
What does it mean to take the gradient of a vector field?
140652
Why does dividing a vector by its norm give a unit vector?
13658
Distinction between vectors and points
153690
is there any uncertainty on the free particle with a definite momentum $\vec p$?