thanks for attention =) have a nice day=) Transcribed Image Text: Prove the two Scalar Multiple Rules for vector functions. d

Excerpt
+ u3 (t)k] d d O B. dlcu(t)] = f lu, (t)i + cu2(t)j + u3(t)k] d. d C. Icu(t)) = lcu, (t)i + cu2 (t)j + cu3 (t)k] dt d d O D. di[cu(t)] = [u, (t)i + u2 (t)j + cu3 (t)k] dt

thanks for attention =) have a nice day=) Transcribed Image Text: Prove the two Scalar Multiple Rules for vector functions.
d
d
a. (cu(t)] = cu'(t) and b. (f(t)u(t)) = f'(t)u(t) + f(t)u'(t)
dt
dt
a. Let c be a constant scalar and u(t) = u, (t)i + u, (t)j + uz (t)k. Find cu(t). Choose the correct answer below.
d
O A. lcu(t) = af [cu, (t)i + u, (t)j + U3 (t)k]
di (cu, (t)i + u2 (t)j + u3 (t)k]
d
d
O B. dlcu(t)] = f lu, (t)i + cu2(t)j + u3(t)k]
d.
d
C. Icu(t)) = lcu, (t)i + cu2 (t)j + cu3 (t)k]
dt
d
d
O D. di[cu(t)] = [u, (t)i + u2 (t)j + cu3 (t)k]
dt

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