What is the derivative of a vector?

[zanazzi78]

I`ve been asked to find the first and second time , t , derivative of a Vector A=(5, 6t, 7t^2)

Ok, now my prof hasn`t given any examples and i don`t have a text bok with these in so i need to ask for a bit of advise.

I`ve been told that all i need to do is find the derivative of the components!

So i`m thinking that;

A` = (0, 6, 14t)

Is this correct?

[edit] OOPs i forgot about the unit vectors, therefore A` = (0, 6j, 14t k)
where the unit vectors i, j, k are the magnitued of the vector along the x, y, z axis[/edit]

 

[TD]

You don't need to add the unit vectors if you write it in components like (0,6,14t).
An alternative way is writing $0{\bf{\hat i}} + 6{\bf{\hat j}} + 14t{\bf{\hat k}}$

The derivative seems correct