/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 49 In Problems 45鈥�50, find the un... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 49 (page 622)

In Problems 45鈥�50, find the unit vector in the same direction as v.

v=i+j+k

Short Answer

Expert verified

The unit vector in the same direction as v=i+j+kis 33i+33j+33k

Step by step solution

01

Step 1. Given

The vector v=i+j+k

To find the unit vector.

02

Step 2. Unit vector in the direction of v 

For any nonzero vector v, the vector u=vvis a unit vector that has the same direction as v.

03

Step 3. Find v

Now,

v=i+j+k=12+12+12=3

04

Step 4. Find the unit vector.

The unit vector is,

u=vv=i+j+k3=3i+3j+3k3=33i+33j+33k

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Use the figure at the right. Determine whether the given statement is true or false.

C=D-E+F

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

(-3,蟺)

Explain how you proceed to convert from rectangular coordinates to polar coordinates.

In Problem, the vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.

Use the figure at the right. Determine whether the given statement is true or false.

A+B=F
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Statistics

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.