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Mathematics
Calculus
Linearizing vectors using Taylor Series
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[QUOTE="SPFF, post: 5539644, member: 519407"] Thanks for your reply, I guess what I'm trying to say is, given some vector r which represents say the position of an object in space, if I wanted to linearize its function with respect to its direction only (i.e. perturb the position with respect to its direction not magnitude), then I could do a Taylor expansion where the derivative is with respect to the unit vector that gives the direction of R but not its magnitude. Now if the function F(r) looks something like GM[B]r[/B]/r^3 and I want to linearize with respect to direction and magnitude, would a taylor expansion wrt just the vector [B]r[/B] be enough, or would I have to do the taylor expansion with respect to two variable, [B]r[/B] and r. Im leaning towards the latter. [/QUOTE]
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Linearizing vectors using Taylor Series
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