Trajectories on circles and spheres Determine whether the following trajectories lie on either a circle in ℝ2 or a sphere in ℝ3 centered at the origin. If so, find the radius of the circle or sphere, and show that the position vector and the velocity vector are everywhere orthogonal. r(t) = ⟨4 sin t, 2 cos t⟩ , for 0 ≤ t ≤ π

Trajectories on circles and spheres Determine whether the following trajectories lie on either a circle in ℝ2 or a sphere in ℝ3 centered at the origin. If so, find the radius of the circle or sphere, and show that the position vector and the velocity vector are everywhere orthogonal. r(t) = ⟨4 sin t, 2 cos t⟩ , for 0 ≤ t ≤ π

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 73E

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