Find the normal vector for the motion of r(t) = < 2sin 2t, 2cos 2t, -4t >. Find the curvature of the motion of r(t) = < 2sin 2t, 2cos 2t, -4t >. Leave your answer correct to two decimal places. Find the radius of curvature of the motion of r(t) = < 2sin 2t, 2cos 2t, -4t >. Leave your answer correct to two decimal places.

Find the normal vector for the motion of r(t) = < 2sin 2t, 2cos 2t, -4t >. Find the curvature of the motion of r(t) = < 2sin 2t, 2cos 2t, -4t >. Leave your answer correct to two decimal places. Find the radius of curvature of the motion of r(t) = < 2sin 2t, 2cos 2t, -4t >. Leave your answer correct to two decimal places.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

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Question

Find the normal vector for the motion of r(t) = < 2sin 2t, 2cos 2t, -4t >.

Find the curvature of the motion of r(t) = < 2sin 2t, 2cos 2t, -4t >. Leave your answer correct to two decimal places.

Find the radius of curvature of the motion of r(t) = < 2sin 2t, 2cos 2t, -4t >. Leave your answer correct to two decimal places.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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