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 9: Q. 42 (page 603)

Find each quantity if $v = 3 i - 5 j$ and $w = - 2 i + 3 j$ .
$3 v - 2 w$

Short Answer

Expert verified

The value of $3 v - 2 w$ when $v = 3 i - 5 j$ and $w = - 2 i + 3 j$ is $13 i - 21 j$

Step by step solution

Step 1. Given data

$v = 3 i - 5 j$ and $w = - 2 i + 3 j$

Step 2. Find the exact valueSubstitute the values of v and w in the equation

$3 v - 2 w = 3 (3 i - 5 j) - 2 (- 2 i + 3 j)$

$3 v - 2 w = 9 i - 15 j + 4 i - 6 j$

$3 v - 2 w = 13 i - 21 j$

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

In Problems55–66, the rectangular coordinates of a point are given. Find polar coordinates for each point.

$(3, 0)$

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

$(6, 150 °)$

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

$r = 2 + 2 \cos θ$

Write the expression in the standard form $a + i b$ .

${[5 (\cos \frac{3 π}{16} + i \sin \frac{3 π}{16})]}^{4}$

In Problems55–66, the rectangular coordinates of a point are given. Find polar coordinates for each point.

$(- 1, 0)$

See all solutions

Recommended explanations on Math Textbooks

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

Find each quantity if $v = 3 i - 5 j$ and $w = - 2 i + 3 j$ .
$3 v - 2 w$

Short Answer

Step by step solution

Step 1. Given data

Step 2. Find the exact valueSubstitute the values of v and w in the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Probability and Statistics

Mechanics Maths

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

Company

Product

Help

Find each quantity if v=3i-5jand w=-2i+3j.3v-2w

Short Answer

Step by step solution

Step 1. Given data

Step 2. Find the exact valueSubstitute the values of v and w in the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Probability and Statistics

Mechanics Maths

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

Find each quantity if $v = 3 i - 5 j$ and $w = - 2 i + 3 j$ .
$3 v - 2 w$