1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

First Derivative of a Vector

  1. Oct 6, 2005 #1
    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]
    Last edited: Oct 6, 2005
  2. jcsd
  3. Oct 6, 2005 #2


    User Avatar
    Homework Helper

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

    The derivative seems correct :smile:
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Derivative Vector Date
Component of Lie Derivative expression vector field Jan 17, 2018
Derivative of directional vector Oct 21, 2017
Polar Divergence of a Vector Sep 10, 2017