If A=5t²+tj-t³k and B=sinti - costj evaluate d/dt(A × B)

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AxB=-t^3cos(t)i+t^3sin(t)j+(5t^2cos(t)-tsin(t))k

d/dt(AxB)=(t^3sin(t)-3t^2cos(t))i+(t^3cos(t)+3t^2sin(t))j+(-5t^2sin(t)+10tcos(t)-tcos(t)-sin(t))k.

Or (^3sin(t)-3t^2cos(t),t^3cos(t)+3t^2sin(t),(-5t^2sin(t)+9tcos(t)-sin(t)).

by Top Rated User (1.2m points)

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