/*! 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 38. In Exercises 37鈥�42, find v and... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q 38. (page 801)

In Exercises 37鈥�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.

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

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

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

Find a vector in the direction opposite to 0,-3,4and with magnitude 10.

Find the norm of the vector.v=12,13,14

If u, v, and ware three mutually orthogonal vectors in 鈩�3, explain why u脳(v脳w)=0.

Find PQ鈫�

P=-1,5,4,Q=-1,6,4
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Logic and Functions

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.