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Differentiating a vector sum

  1. Oct 6, 2012 #1

    FOIWATER

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    I know how to differentiate the dot and cross products of two vectors, is the differentiation of a vector sum done like this:

    d/dt (u+t) = u' + t + u + t'

    Or simply add them and then differentiate?

    Thanks
     
  2. jcsd
  3. Oct 6, 2012 #2
    (u+t)'=u'+t', as it is for scalar functions. This is linearity.
     
  4. Oct 7, 2012 #3

    FOIWATER

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    thanks
     
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