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Determine whether the following trajectory lies on a circle. If so, find the radius of the circle and show that the position vector and velocity vector are everywhere orthogonal. r(t) = (2 sint+ V5 cos t 5 sint-2 cos t) for 0sts 2n Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The trajectory lies on a circle with radius O B. The trajectory does not lie on a circle. What is the velocity vector? v(t) = (Type an exact answer, using radicals as needed.) Find the dot product r•v to show that the position and velocity vector are orthogonal. r•v =

Determine whether the following trajectory lies on a circle. If so, find the radius of the circle and show that the position vector and velocity vector are everywhere orthogonal. r(t) = (2 sint+ V5 cos t 5 sint-2 cos t) for 0sts 2n Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The trajectory lies on a circle with radius O B. The trajectory does not lie on a circle. What is the velocity vector? v(t) = (Type an exact answer, using radicals as needed.) Find the dot product r•v to show that the position and velocity vector are orthogonal. r•v =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
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Determine whether the following trajectory lies on a circle. If so, find the radius of the circle and show that the position vector and velocity vector are everywhere orthogonal. r(t) = (2 sint+ V5 cos t 5 sint-2 cos t) for 0sts 2n ..... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The trajectory lies on a circle with radius O B. The trajectory does not lie on a circle. What is the velocity vector? v(t) = O (Type an exact answer, using radicals as needed.) Find the dot product r•v to show that the position and velocity vector are orthogonal. r•v =
Transcribed Image Text:Determine whether the following trajectory lies on a circle. If so, find the radius of the circle and show that the position vector and velocity vector are everywhere orthogonal. r(t) = (2 sint+ V5 cos t 5 sint-2 cos t) for 0sts 2n ..... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The trajectory lies on a circle with radius O B. The trajectory does not lie on a circle. What is the velocity vector? v(t) = O (Type an exact answer, using radicals as needed.) Find the dot product r•v to show that the position and velocity vector are orthogonal. r•v =
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