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 46. (page 801)

Find a vector in the direction of 9,0,-6and with magnitude 7.

Short Answer

Expert verified

The required vector is71179,0,-6.

Step by step solution

01

Step 1. Given information.

The given vector is:

v=9,0,-6with magnitude 7.

02

Step 2. Find the norm of the vector.

v=9,0,-6v=92+02+-62=81+0+36=117

Therefore, the norm of the given vector is 117.

03

Step 3. Find the vector.

We know that the vector in the direction of vis avv. Here ais the magnitude of the given vector.

The required vector is:

avv=71179,0,-6


Therefore the vector in the direction of v=9,0,-6and with a magnitude of 7 islocalid="1649504967884" 71179,0,-6.

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

A function f that satisfies the hypotheses of Rolle’s Theorem on [−2, 2] and for which there are exactly three values c ∈ (−2, 2) that satisfy the conclusion of the theorem .

In Exercises 30–35 compute the indicated quantities when

u=(−3,1,−4),v=(2,0,5),andw=(1,3,13)

u×vandv×u

Find a vector in the direction of -1,2,3with magnitude 3.

limx→0ex-1x

In Exercises 24-27, find compuv, projuv, and the component of v orthogonal tou.

u=1,2,v=3,5
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Discrete 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