on the cross product, just do the math. It will become clear that the cross product is not associative.
df/dt = 2cos2t i + 3e^(3t) j + (3t^2-4)k
|dfdt| is done in the usual way
d^2f/dt^2 = -4sin2t i + 9e^(3t) j + 6t k
These are pretty basic application of definitions. Too bad you couldn't be bothered to show your work.
If A=I+3j+2k, B=2i+5j-k, C=I+2j+3k, show that A×(B×C) and (A×B) ×C are not equal.
If F=I sin 2t+je^3t+k (t^3-4t), determine df/dt, d^2f/dt^2, |df/dt|
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