/*! 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. 46 In Problems 46鈥�49, find the do... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 46 (page 630)

In Problems 46鈥�49, find the dot product v路w and the angle between v and w.

v=-2i+j,w=4i-3j

Short Answer

Expert verified

The dot productv路wis-11and the angle betweenv andwis胃鈮�169掳.

Step by step solution

01

Step 1. Given Information

The given vectors arev=-2i+j,w=4i-3j.

02

Step 2. Finding the dot product

To find the dot product, use the formula of the dot product which isv路w=a1a2+b1b2

So,

v路w=-24+1-3v路w=-11

03

Step 3. Finding the angle between v and w

To find the angle between vectors, we will use the formula cos胃=u路vuv.

We have the dot product but to find the length of a vector we will use u=a2+b2.

So,

cos胃=-2i+j路4i-3j-22+1242+-32cos胃=-1155胃=cos-1-1155胃鈮�169掳

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 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.

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

3-4i.

Write the expression in the standard form a+bi.

4cos40掳+isin40掳3

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

3v-2w

find the unit vector in the same direction as v

v=-3j

v=-3j
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

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.