Chapter 10: Q 28. (page 801)

Find $u + v a n d u - v$ also sketch $u, v, u + v, u - v$
role="math" localid="1649603943715" $u = (3, 6, 11) a n d v = (1, - 2, 3)$

Short Answer

Expert verified

The required value of $u + v = (4, 4, 14) a n d u - v = (2, 8, 8)$ .

Step by step solution

Step 1. Given information.

We have given vector $u = (3, 6, 11) a n d v = (1, - 2, 3)$

Step 2. Find the values of u+v and u-v.

$u + v = (x_{1} + x_{2}, y_{1} + y_{2}, z_{1} + z_{2}) = (3 + 1, 6 + (- 2), 11 + 3) = (4, 4, 14) a n d u - v = (x_{1} - x_{2}, y_{1} - y_{2}, z_{1} - z_{2}) = (3 - 1, 6 - (- 2), 11 - 3) = (2, 8, 8)$

Step 3. Sketch u, v, u+v and u-v.

The graph of vector $u + v$ .

The graph of vector $u - v$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find $u + v a n d u - v$ also sketch $u, v, u + v, u - v$
role="math" localid="1649603943715" $u = (3, 6, 11) a n d v = (1, - 2, 3)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the values of u+v and u-v.

Step 3. Sketch u, v, u+v and u-v.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Find u+vandu-valso sketch u,v,u+v,u-vrole="math" localid="1649603943715" u=3,6,11andv=1,-2,3

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the values of u+v and u-v.

Step 3. Sketch u, v, u+v and u-v.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Find $u + v a n d u - v$ also sketch $u, v, u + v, u - v$
role="math" localid="1649603943715" $u = (3, 6, 11) a n d v = (1, - 2, 3)$