# First Derivative of a Vector

1. Oct 6, 2005

### zanazzi78

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

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

Ive been told that all i need to do is find the derivative of the components!

So im thinking that;

A = (0, 6, 14t)

Is this correct?

 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]

Last edited: Oct 6, 2005
2. Oct 6, 2005

### 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