Explanation Given: u = [ − 2 4 ] and v = [ 3 1 ] and A ( 0 , − 1 ) . Approach: Equate the equation over the vector to find the coordinates of the undetermined vector. Calculation: Since the vector is given as, u = [ − 2 4 ] , v = [ 3 1 ] , A ( 0 , − 1 ) and u = A B → Such that displacement over the vectors can be calculated as, u = A B → = B → − A → [ − 2 4 ] = B → − A → Where basis vector of A = [ 0 − 1 ] , By putting the value of A in the above equation, [ − 2 4 ] = B → − A → B → = [ − 2 4 ] + A → = [ − 2 4 ] + [ 0 − 1 ] = [ − 2 3 ] Hence, the point B has a vector basis of B → = [ − 2 3 ] , such that coordinates are B ( − 2 , 3 ) To determine b) To graph: Graph the following u = A B → , v = B C → and u+v = A C → .

Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)

5th Edition

ISBN: 9780134689531

Author: Lee Johnson, Dean Riess, Jimmy Arnold

Publisher: PEARSON

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Chapter 2.1, Problem 20E

To determine

a)

To find:

The value of point B and C such that u=AB→,v=BC→ and u+v=AC→.

To determine

b)

To graph:

Graph the following u=AB→, v=BC→ and u+v=AC→.

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Chapter 2.1, Problem 19E

Chapter 2.1, Problem 21E

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Chapter 2 Solutions

Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)

Ch. 2.1 - In Exercises 1-4, graph the geometric vector u=AB...Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Let u=AB and v=CD where...Ch. 2.1 - In Exercises 6-9, find the unspecified coordinates...Ch. 2.1 - In Exercises 6-9, find the unspecified coordinates...Ch. 2.1 - In Exercises 6-9, find the unspecified coordinates...Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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a) To find: The value of point B and C such that u = A B → , v = B C → and u + v = A C → .

Solution Summary: The author explains how to find the coordinates of the undetermined vector by equating the equation over it.

Videos

a)

To find:

The value of point B and C such that u=AB→,v=BC→ and u+v=AC→.

b)

To graph:

Graph the following u=AB→, v=BC→ and u+v=AC→.

Want to see the full answer?

Chapter 2 Solutions

a) To find: The value of point B and C such that u = A B → , v = B C → and u + v = A C → .

Solution Summary: The author explains how to find the coordinates of the undetermined vector by equating the equation over it.

Videos

a) To find: The value of point B and C such that u=AB→,v=BC→ and u+v=AC→.

b) To graph: Graph the following u=AB→, v=BC→ and u+v=AC→.

Want to see the full answer?

Chapter 2 Solutions

a)

To find:

The value of point B and C such that u=AB→,v=BC→ and u+v=AC→.

b)

To graph:

Graph the following u=AB→, v=BC→ and u+v=AC→.