Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Q. 16 (page 603)

Use the vectors in the figure at the right to graph each of the following vectors.

2u-3v+w

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given Information 

We are given three vectors u,v,w and we need to graph the vector 2u-3v+w.

02

Step 2. Plotting the graph  

At first, we find out the vector 2uwhich is twice the magnitude of vector u.

Next we find the vector -3vwhich has magnitude thrice the vector vand a director opposite to the vector v.

So, we join the terminal point of 2uwith the initial point of vector -3v.

Then we add the vector wby joining the terminal point of vector -3vwith the initial point of vector w.

The resultant vector 2u-3v+wis obtained by joining the initial point of vector 2uwith the terminal point of vector w.

The graph of the resultant vector is

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

If v⇀=2i⇀-j⇀and w⇀=xi⇀+3j⇀, find all numbers x for which v⇀+w⇀=5.

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

-3.1,182°

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

3-4i.

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

C=D-E+F

To test if the graph of a polar equation may be symmetric with respect to the lineθ=π2,replace θby ______.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Pure 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.

Sign-up for free