Question

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)

Answer 1

Answer:

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