Explanation Given info: Equation of circle r → ( t ) = 7 i ∧ + ( 12 cos t ) j ∧ + ( 12 sin t ) k ∧ Concept used: Find out the co-ordinate of general point lie on the circle. Here x − co-ordinate does not change, it means that plane containing the circle is perpendicular to x − axis i .e . y z plane . After finding the plane of circle find out radius center of circle. Calculation: Equation of circle r → ( t ) = 7 i ∧ + ( 12 cos t ) j ∧ + ( 12 sin t ) k ∧ points lie on the circle is given by. ( 7 , 12 Cos t , 12 Sin t ) . x − Co-ordinate of the points lie on the circle does not change, hence x − co-ordinate of center of circle is 7 and plane of circle is perpendicular to x − a x i s and passing through x = 7 so plane of circle x = 7 ...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 14.1, Problem 20E

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The function $\vec{r} (t)$ traces a circle. Determine the circle radius, center and plane containing the circle $\vec{r} (t) = 7 \overset{\land}{i} + (12 \cos t) \overset{\land}{j} + (12 \sin t) \overset{\land}{k}$ .

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Chapter 14.1, Problem 19E

Chapter 14.1, Problem 21E

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Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 6PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E

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The function r → ( t ) traces a circle. Determine the circle radius, center and plane containing the circle r → ( t ) = 7 i ∧ + ( 12 cos t ) j ∧ + ( 12 sin t ) k ∧ .

Solution Summary: The author explains the function r ( t ) traces a circle. Determine the circle radius, center and plane containing it.

Concept explainers

The function $\vec{r} (t)$ traces a circle. Determine the circle radius, center and plane containing the circle $\vec{r} (t) = 7 \overset{\land}{i} + (12 \cos t) \overset{\land}{j} + (12 \sin t) \overset{\land}{k}$ .

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Chapter 14 Solutions

The function r → ( t ) traces a circle. Determine the circle radius, center and plane containing the circle r → ( t ) = 7 i ∧ + ( 12 cos t ) j ∧ + ( 12 sin t ) k ∧ .

Solution Summary: The author explains the function r ( t ) traces a circle. Determine the circle radius, center and plane containing it.

Concept explainers

The function r→(t) traces a circle. Determine the circle radius, center and plane containing the circle r→(t)=7i∧+(12cost)j∧+(12sint)k∧.

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Chapter 14 Solutions

The function $\vec{r} (t)$ traces a circle. Determine the circle radius, center and plane containing the circle $\vec{r} (t) = 7 \overset{\land}{i} + (12 \cos t) \overset{\land}{j} + (12 \sin t) \overset{\land}{k}$ .