Chapter 2: Space Curves
Section 2.3: Tangent Vectors
If Rp=xp i+yp j+zp k is a position vector and Rp=Rp is its length,
show that R·dRdp = R dRdp.
R·dRdp = xyz·x′y′z′ = x x′+y y′+z z′
=x2+y2+z2 x x′+y y′+z z′x2+y2+z2
=x x′+y y′+z z′
Clearly, these two quantities are equal.
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