If a curve has the property that the position vector r(t) is always perpendicular to the tangent

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If a curve has the property that the position vector r(t) is always perpendicular to the tangent vector r'(t), show that the curve lies on a sphere with center the origin.

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Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

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Question Posted: Apr 15, 2019 02:32 PM

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If a curve has the property that the position vector r(t) is always perpendicular to the tangent

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2rt r t rt rt Since rtr t 0 ...View the full answer

Calculus Early Transcendentals

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