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

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

See similar textbooks

Concept explainers

Magnitude

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…

Videos

Question

Chapter 13.1, Problem 1E

To determine

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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.1, Problem 6PQ

Chapter 13.1, Problem 2E

Students have asked these similar questions

Robbie Bearing Word Problems Angles name: Jocelyn date: 1/18 8K 2. A Delta airplane and an SouthWest airplane take off from an airport at the same time. The bearing from the airport to the Delta plane is 23° and the bearing to the SouthWest plane is 152°. Two hours later the Delta plane is 1,103 miles from the airport and the SouthWest plane is 1,156 miles from the airport. What is the distance between the two planes? What is the bearing from the Delta plane to the SouthWest plane? What is the bearing to the Delta plane from the SouthWest plane? Delta y SW Angles ThreeFourthsMe MATH 2

Find the derivative of the function. m(t) = -4t (6t7 - 1)6

Find the derivative of the function. y= (8x²-6x²+3)4

Chapter 13 Solutions

Calculus - Standalone book

Ch. 13.1 - Prob. 1PQ Ch. 13.1 - Prob. 2PQ Ch. 13.1 - Prob. 3PQ Ch. 13.1 - Prob. 4PQ Ch. 13.1 - Prob. 5PQ Ch. 13.1 - Prob. 6PQ Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

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 $v_{1}, v_{2}, v_{3} and v_{4}$ 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.