Explanation Given: The vector v → is given as v → = 8 i ^ − 15 j ^ . Formula used: A unit vector is a vector that has a magnitude of 1. Any vector can become a unit vector by dividing it by the vector's magnitude. Vectors are often written in xyz coordinates. To use three unit vectors, with each pointing along one of the axes: v → = x i ^ + y j ^ + z k ^ the magnitude of a vector is: | v → | = x 2 + y 2 + z 2 . U n i t v e c t o r = v e c t o r m a g n i t u d e o f t h e v e c t o r v ^ = v → | v → | = x i ^ + y j ^ + z k ^ x 2 + y 2 + z 2

Precalculus Enhanced with Graphing Utilities (7th Edition)

7th Edition

ISBN: 9780134119281

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Vector Calculus

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Question

Chapter 12.3, Problem 113RYK

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To calculate: The value of unit vector in the same direction as $v = 8 i - 15 j$ .

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Chapter 12.3, Problem 112RYK

Chapter 12.3, Problem 114RYK

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Chapter 12 Solutions

Precalculus Enhanced with Graphing Utilities (7th Edition)

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The value of unit vector in the same direction as v = 8 i − 15 j .

Solution Summary: The author explains the formula used to calculate the value of a unit vector in the same direction as v = 8 i 15 j

Concept explainers

To calculate: The value of unit vector in the same direction as $v = 8 i - 15 j$ .

Want to see the full answer?

Chapter 12 Solutions

The value of unit vector in the same direction as v = 8 i − 15 j .

Solution Summary: The author explains the formula used to calculate the value of a unit vector in the same direction as v = 8 i 15 j

Concept explainers

To calculate: The value of unit vector in the same direction as v = 8i − 15j .

Want to see the full answer?

Chapter 12 Solutions

To calculate: The value of unit vector in the same direction as $v = 8 i - 15 j$ .