Can Vector Magnitude and Direction Be Defined Without a Reference Frame?

shishir · 2007-09-26T00:17:40+00:00

the magnitude and direction of vector can be described without using refrence frame. (true or false) . Please explain .why and why not

Thread 'How does time derivative commute from one variable to another?'

I'm reviewing Meirovitch's "Methods of Analytical Dynamics," and I don't understand the commutation of the derivative from r to dr: $$ \mathbf{F} \cdot d\mathbf{r} = m \ddot{\mathbf{r}} \cdot d\mathbf{r} = m\mathbf{\dot{r}} \cdot d\mathbf{\dot{r}} $$

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Thread 'How does time derivative commute from one variable to another?'

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