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karens
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Homework Statement
n.
Let r1 and r2 be differentiable 3-space vector-valued functions.
Directly from the definition of dot product, and the definition of derivative of vector-
valued functions in terms of components, prove that
d/dt (r1(t) • r2(t)) = r′1(t) • r2(t) + r1(t) • r′2(t).
Homework Equations
Dot Product: U • V = u1v1 + u2v2 + u3v3
The Attempt at a Solution
I can just substitute things forever and get nowhere...