Explanation Given: The tail and head positions for the vectors are as: v 1 v 2 v 3 v 4 P ( 2 , 4 ) ( − 1 , 3 ) ( − 1 , 3 ) ( 4 , 1 ) Q ( 4 , 4 ) ( 1 , 3 ) ( 2 , 4 ) ( 6 , 3 ) The two vectors are said to be equivalent if they have the same lengths and are parallel to each other. Calculation: The sketch of the vectors are as shown in the figure. v 1 = P Q ¯ = ( 4 − 2 , 4 − 4 ) = ( 2 , 0 ) ‖ v 1 ‖ = 2 2 + 0 2 = 2 v 2 = P Q ¯ = ( 1 − ( − 1 ) , 3 − 3 ) = ( 2 , 0 ) ‖ v 2 ‖ = 2 2 + 0 2 = 2

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ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector spa…

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Chapter 13.1, Problem 1E

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We need to sketch the vectors $v_{1}, v_{2}, v_{3} and v_{4}$ with tail $P$ and head $Q$ . We need to compute their lengths and determine if any two of the vectors are equivalent.

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Chapter 13.1, Problem 6PQ

Chapter 13.1, Problem 2E

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We need to sketch the vectors v 1 , v 2 , v 3 and v 4 with tail P and head Q . We need to compute their lengths and determine if any two of the vectors are equivalent.

Solution Summary: The author explains that the two vectors are equivalent if they have the same lengths and are parallel to each other.

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We need to sketch the vectors $v_{1}, v_{2}, v_{3} and v_{4}$ with tail $P$ and head $Q$ . We need to compute their lengths and determine if any two of the vectors are equivalent.

Want to see the full answer?

Chapter 13 Solutions

We need to sketch the vectors v 1 , v 2 , v 3 and v 4 with tail P and head Q . We need to compute their lengths and determine if any two of the vectors are equivalent.

Solution Summary: The author explains that the two vectors are equivalent if they have the same lengths and are parallel to each other.

Concept explainers

Videos

We need to sketch the vectors v1,v2,v3 and v4 with tail P and head Q. We need to compute their lengths and determine if any two of the vectors are equivalent.

Want to see the full answer?

Chapter 13 Solutions

We need to sketch the vectors $v_{1}, v_{2}, v_{3} and v_{4}$ with tail $P$ and head $Q$ . We need to compute their lengths and determine if any two of the vectors are equivalent.