Explanation Given info. r ( t ) = ( 4 − t ) i ∧ + ( 2 + 5 t ) j ∧ + 1 2 t K ∧ Concept used: Equation of line with parameterization is give r → − r → o = t v → r → : Where r → position vector of variable point. r → o : Position vector of given point. t: parameter v → : Vector parallel to the line. Calculation: r → ( t ) = ( 4 − t ) i ∧ + ( 2 + 5 t ) j ∧ + 1 2 t k ∧ r → ( t ) = 4 i ∧ − t i ∧ + 2 j ∧ + 5 t j ∧ + 1 2 t k ∧ (Taking common t) r → ( t ) = ( 4 i ∧ + 2 j ∧ + o k ∧ ) + ( − t i ∧ + 5 t j ∧ + 1 2 t k ∧ ) = ( 4 i ∧ + 2 j ∧ + o k ∧ ) + ( − i ∧ + 5 j ∧ + 1

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 14.1, Problem 6E

To determine

Find the direction vector for the line with parameterization

$r (t) = (4 - t) \overset{\land}{i} + (2 + 5 t) \overset{\land}{j} + \frac{1}{2} t \overset{\land}{K}$

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Chapter 14.1, Problem 5E

Chapter 14.1, Problem 7E

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Chapter 14 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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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Find the direction vector for the line with parameterization r ( t ) = ( 4 − t ) i ∧ + ( 2 + 5 t ) j ∧ + 1 2 t K ∧

Solution Summary: The author explains how to determine the direction vector for the line with parameterization.

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Find the direction vector for the line with parameterization

$r (t) = (4 - t) \overset{\land}{i} + (2 + 5 t) \overset{\land}{j} + \frac{1}{2} t \overset{\land}{K}$

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Chapter 14 Solutions

Find the direction vector for the line with parameterization r ( t ) = ( 4 − t ) i ∧ + ( 2 + 5 t ) j ∧ + 1 2 t K ∧

Solution Summary: The author explains how to determine the direction vector for the line with parameterization.

Concept explainers

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Find the direction vector for the line with parameterization r(t)=(4−t)i∧+(2+5t)j∧+12tK∧

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Chapter 14 Solutions

Find the direction vector for the line with parameterization

$r (t) = (4 - t) \overset{\land}{i} + (2 + 5 t) \overset{\land}{j} + \frac{1}{2} t \overset{\land}{K}$