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lillyd2873
20.02.2020 •
Mathematics
Consider the spiral given by c(t) = (e2t cos(2t), e2t sin(2t)). Show that the angle between c and c' is constant. c'(t) = Let θ be the angle between c and c'. Using the dot product rule we have the following. c(t) · c'(t) = c(t) · c'(t) cos(θ) 2e4t = cos(θ)
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Ответ:
angle is 45° which is constant
Step-by-step explanation:
We use formula for two vectors a and b to calculate angle θ between them by formula
cos θ = a . b / magnitude of a × magnitude of b
Please see the attached file
Ответ: