Notation for operations on vectors and matrices

Question

I asked a question on the physics stack exchange site. I was given the following answer:

$$ \dot{\vec r}(t) =\dot{\vec r}_0(t)+\vec \omega(t)\times (\vec r(t) - \vec r_0(t)) $$

Please could someone explain:

• What is meant by he dot and arrow over the letters (is it derivative and vector?)
• What type of operation the multiply sign represents (is it cross product?)

Thanks

Answer 1

The arrow means it's a vector. The dot is the derivative with respect to time. The multiply sign is the cross product.