Explanation Definition used: Component form of a vector: The component form of the vector with initial point P ( p 1 , p 2 ) and the terminal point Q ( q 1 , q 2 ) is given by P Q → = 〈 q 1 − p 1 , q 2 − p 2 〉 = 〈 v 1 , v 2 〉 = v . The magnitude of a vector v can be represented as follows. ‖ v ‖ = ( q 1 − p 1 ) 2 + ( q 2 − p 2 ) 2 = v 1 2 + v 2 2 If ‖ v ‖ = 1 , then v is called a unit vector whereas ‖ v ‖ = 0 if and only if v is the zero vector 0. Calculation: Let P ( − 2 , 3 ) = ( p 1 , p 2 ) and Q ( − 7 , 9 ) = ( q 1 , q 2 ) . By using the above mentioned definition, find the components of v = 〈 v 1 , v 2 〉 as follows. Evaluate v 1 .

10th Edition

ISBN: 9781337271073

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 6.3, Problem 2CP

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The component form and magnitude of the vector v that has initial point (−2,3) and the terminal point (−7,9).

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Chapter 6.3, Problem 1CP

Chapter 6.3, Problem 3CP

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The component form and magnitude of the vector v that has initial point ( − 2 , 3 ) and the terminal point ( − 7 , 9 ) .

Solution Summary: The author explains the component form and magnitude of a vector v that has initial point (-2,3) and terminal

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To find:

The component form and magnitude of the vector v that has initial point (−2,3) and the terminal point (−7,9).

Want to see the full answer?

Chapter 6 Solutions

The component form and magnitude of the vector v that has initial point ( − 2 , 3 ) and the terminal point ( − 7 , 9 ) .

Solution Summary: The author explains the component form and magnitude of a vector v that has initial point (-2,3) and terminal

Concept explainers

Videos

To find: The component form and magnitude of the vector v that has initial point (−2,3) and the terminal point (−7,9).

Want to see the full answer?

Chapter 6 Solutions

To find:

The component form and magnitude of the vector v that has initial point (−2,3) and the terminal point (−7,9).