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danny_manny
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Homework Statement
Look up, figure out, or make an intelligent guess at the product rule for the scalar
product. That is, a rule of the form
d/dt [a(t).b(t)] =?+?
Verify your proposed rule on the functions
a(t) = ti + sin(t)j + e^(t)k and b(t) = cos(t)i - t^(2)j - e^(t)k:
Homework Equations
The Attempt at a Solution
I'm thinking that i can differentiate each function separately and then take the scalar product of these two vectors?
which gives me d/dt (a) =i - cos(t)j - e^(t)k
and d/dt (b) = sin(t)j - 2tj - e^(-t)k
and then i would take the scalar product of these two vectors? but how do i verify that this result is correct?
Thanks Danny
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