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BARSIC [14]
2 years ago
13

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) = _____L

et 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)

Mathematics
1 answer:
Tcecarenko [31]2 years ago
8 0

Answer:

angle is 45° which is constant

Step-by-step explanation:

We use formula for two vectors <u>a </u>and <u>b</u>    to calculate angle θ between them by formula

cos θ =  <u>a .</u> <u>b</u>  / magnitude of <u>a </u>  ×  magnitude of <u>b</u>

<u>Please see the attached file</u>

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