Explanation Given: The equation for the plane vector by f ( x ) and f ( y ) . Calculation: Consider w = ( a 1 , b 1 ) and v = ( a 2 , b 2 ) Now, the cross product of vectors w = ( a 1 , b 1 ) and v = ( a 2 , b 2 ) is the vector w × v = | i j a 1 b 1 a 2 b 2 | = ( a 1 b 2 ) i − ( a 2 b 1 ) j If the choosing vector is v × w instead of w × v

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

See similar textbooks

Videos

Question

Chapter 14.4, Problem 6PQ

To determine

To find:

the affect in resultant equation of the vector if we choose v×w instead of w×v.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.4, Problem 5PQ

Chapter 14.4, Problem 1E

Students have asked these similar questions

Consider the following scenario. A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 150 mi/h. A wind is blowing in the direction S 30° E at a speed of 34 mi/h. Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still air, write a vector that represents the velocity of the plane and a vector that represents the velocity of the wind.

Consider the following scenario. A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 190 mi/h. A wind is blowing in the direction S 30° E at a speed of 34 mi/h. Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still air, write a vector that represents the velocity of the plane and represents the velocity of the wind. Vplane = Vwind= Give a velocity vector of the plane relative to ground. (Round your values to three decimal places.) V = Vplane + wind= Find vl. (Round your answer to one decimal place.) |v| = Find the true course and the ground speed (in mi/h) of the plane. (Round your answers to one decimal place.) true course N W ground speed Need Help? Read It mi/h vector that

normal to the plane.

Chapter 14 Solutions

Calculus: Early Transcendentals

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. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E

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.

the affect in resultant equation of the vector if we choose v × w instead of w × v .

Solution Summary: The author calculates the cross product of vectors w=(a_1,b

Videos

To find:

the affect in resultant equation of the vector if we choose v×w instead of w×v.

Want to see the full answer?

Chapter 14 Solutions

the affect in resultant equation of the vector if we choose v × w instead of w × v .

Solution Summary: The author calculates the cross product of vectors w=(a_1,b

Videos

To find: the affect in resultant equation of the vector if we choose v×w instead of w×v.

Want to see the full answer?

Chapter 14 Solutions

To find:

the affect in resultant equation of the vector if we choose v×w instead of w×v.