/*! 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. 29 The vector v is represented by t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 29 (page 630)

The vector v is represented by the directed line segment 鈫�PQWrite v in the form ai + bj and find 鈭�v鈭�.

role="math" localid="1646907960914" P=(-1,2);Q=(3,-6)

Short Answer

Expert verified

v=2i-4j鈭�v鈭�=25

Step by step solution

01

Step 1. Given information

We have to write the vector v in the form ai+bjand also we have to find 鈭�v鈭�.

Given points are:

P=(-1,2);Q=(3,-6)

02

Step 2. Find the position of vector

To find the position of the vector,

we know that,

v=P1P2鈫�

where,

P=(x,y)

it can be written as:

v=x2鈭�x1,y2鈭�y1

03

Step 3. Find the vector v

For the points we have,

v=[P,Q]=[(3鈭�1),(鈭�6鈭�(鈭�2))]=(2,鈭�4)=2i鈭�4j

04

Step 4. Calculate the magnitude

鈭�v鈭�=(2)2+(鈭�4)2=4+16=20=25

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 Problems 11-22, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees.

-2+3i.

Identify and graph each polar equation. Verify your graph using a graphing utility.

r=3cos4胃

Identify and graph each polar equation. Verify your graph using a graphing utility.

r=3胃

Identify and graph each polar equation. Verify your graph using a graphing utility.

r=2胃

Explain how you proceed to convert from rectangular coordinates to polar coordinates.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Decision Maths

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.