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 40. (page 801)

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

v=2,1,-5

Short Answer

Expert verified

v=30 and the unit vector in the direction of vis 1302,1,-5.

Step by step solution

01

Step 1. Given information.

The given vector is:

v=2,1,-5

02

Step 2. Find the norm of the vector.

v=2,1,-5v=22+12+52=4+1+25=30

Therefore, the norm of the given vector is30.

03

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

The unit vector in the direction of vis the vector:

1vv=1302,1,-5

Therefore, the unit vector in the direction ofv=2,1,-5is1302,1,-5.

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

Why do we use the terminology "separable" to describe a differential equation that can be written in the form

In Exercises 30–35 compute the indicated quantities when u=(−3,1,−4),v=(2,0,5),andw=(1,3,13)

Find the area of the parallelogram determined by the vectors u and v.

In Exercises 22–29 compute the indicated quantities when u=(2,1,−3),v=(4,0,1),andw=(−2,6,5)

v×wandw×v

In Exercises 30–35 compute the indicated quantities when u=(−3,1,−4),v=(2,0,5),andw=(1,3,13)

u×wandw×u

What is meant by the parallelogram determined by vectors u and v in ℝ3? How do you find the area of this parallelogram?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

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