4.1 * By writing a b in terms of components prove that the product rule for differentiation applies to the dot product of two vectors; that is, d (a·b) = dt da •b+ a. dt db dt

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4.1  classic mechanics 

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4.1 * By writing a · b in terms of components prove that the product rule for differentiation applies to
the dot product of two vectors; that is,
d
- (а -b)
dt
da
•b+ a•
dt
db
dt
4.2 ** Evaluate the work done
= (F, dx + F, dy)
(4.100)
W =
F.dr =
Transcribed Image Text:4.1 * By writing a · b in terms of components prove that the product rule for differentiation applies to the dot product of two vectors; that is, d - (а -b) dt da •b+ a• dt db dt 4.2 ** Evaluate the work done = (F, dx + F, dy) (4.100) W = F.dr =
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