Logout Open In App
Open In App
Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 10: Q 38. (page 801)

In Exercises 37–42, find v and find the unit vector in the direction of v.

v=13,-23

Short Answer

Expert verified

v=1 and the unit vector in the direction of vis13,-23.

Step by step solution

01

Step 1. Given information.

The given vector is:

v=13,-23

02

Step 2. Find the norm of the vector.

v=13,-23v=132+-232=13+23=33=1

Therefore, the norm of the given vector is 1.

03

Step 3. Find the unit vector in the direction of v.

The unit vector in the direction of vis the vector:

1vv=1113,-23=13,-23

Therefore, the unit vector in the direction of v=13,-23is 13,-23.

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!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Give precise mathematical definitions or descriptions of each of the concepts that follow. Then illustrate the definition with a graph or algebraic example, if possible.

the formalδ-M,N-∈,, and N–M definitions of the limit statements limx→cf(x)=∞,limx→∞f(x)=L,andlimx→∞f(x)=∞, respectively

Find u+vand u-v. Also sketchu,v,u+vand u-v.

role="math" localid="1649578020551" u=3,-4andv=-1,5

Find PQ→

P=-1,5,4,Q=-1,6,4

Find the mass of a 30-centimeter rod with square cross sections of side length 2 centimeters, given that the density of the rod x centimeters from the left end is ρ(x) =10·5+0·01527x2 grams per cubic centimeter.

Suppose that we know the reciprocal rule for limits: If limx→cg(x)=Mexists and is nonzero, then limx→c1g(x)=1MThis limit rule is tedious to prove and we do not include it here. Use the reciprocal rule and the product rule for limits to prove the quotient rule for limits.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free