Explanation Given: u = 〈 6 , − 2 〉 , v = 〈 1 , 1 〉 , w = 〈 1 , − 1 〉 Calculation: u = 〈 6 , − 2 〉 = r 〈 1 , 1 〉 + s 〈 1 , − 1 〉 ⇒ 6 = r + s ... ( 1 ) − 2 = r − s .....

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

See similar textbooks

Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

Videos

Question

Chapter 13.1, Problem 62E

To determine

We need to express $u$ as a linear combination $u = r \vec{v} + s \vec{w}$

We need to sketch $u, v, w$ and the parallelogram formed by $r \vec{v} and s \vec{w}$

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.1, Problem 61E

Chapter 13.1, Problem 63E

Students have asked these similar questions

Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(-3,4, -32) for the function f(x, y, z) = In -4x -5y- Please write your answer as a vector (a, b, c) with a negative z component, and show your answer accurate to 4 decimal places

Find the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3 and Ay = 0.05. dz = Now find Az and compare it to your answer above Ax= Hint: If entering a decimal, round to at least 5 places

Find the differential of the function f(x, y) = −8x√y at the point (1,3) using Ax = 0.25 and Ay = -0.15. dz Now find Az and compare it to your answer above Az = Hint: If entering a decimal, round to at least 5 places

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 express u as a linear combination u = r v → + s w → We need to sketch u , v , w and the parallelogram formed by r v → and s w →

Solution Summary: The author explains that u is a linear combination of r v + s w. The vectors and parallelogram are sketched as shown in the figure.

Concept explainers

Videos

We need to express $u$ as a linear combination $u = r \vec{v} + s \vec{w}$

We need to sketch $u, v, w$ and the parallelogram formed by $r \vec{v} and s \vec{w}$

Want to see the full answer?

Chapter 13 Solutions

We need to express u as a linear combination u = r v → + s w → We need to sketch u , v , w and the parallelogram formed by r v → and s w →

Solution Summary: The author explains that u is a linear combination of r v + s w. The vectors and parallelogram are sketched as shown in the figure.

Concept explainers

Videos

We need to express u as a linear combination u=rv→+sw→ We need to sketch u,v,w and the parallelogram formed by rv→ and sw→

Want to see the full answer?

Chapter 13 Solutions

We need to express $u$ as a linear combination $u = r \vec{v} + s \vec{w}$

We need to sketch $u, v, w$ and the parallelogram formed by $r \vec{v} and s \vec{w}$