/*! 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 50. Find a unit vector in the direct... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q 50. (page 801)

Find a unit vector in the direction opposite to3,4,5.

Short Answer

Expert verified

The required vector is150-3,-4,-5.

Step by step solution

01

Step 1. Given information.

The given vector is:

v=3,4,5

02

Step 2. Find the norm of the vector.

v=3,4,5v=32+42+52=9+16+25=50

Therefore, the norm of the given vector is 50.

03

Step 3. Find the vector.

We know that the vector in the direction of vis 1v-v. Here ais the magnitude of the given vector and the negative sign shows the direction opposite tov=3,4,5.

The required vector is:

role="math" localid="1649521227299" 1vv=150-3,4,5=150-3,-4,-5


Therefore, the unit vector in the direction opposite to v=3,4,5is150-3,-4,-5.

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

Find an equation of the line containing the given point and parallel to the given vector. Express your answer

(a) as a vector parametrization

(b) in terms of parametric equations

(c) in symmetric form.

P(0,0,0),d=1,2,鈭�4

Find u+vandu-valso sketch u,v,u+v,u-v

u=4,0andv=0,3

Explain why two distinct parallel lines determine a unique plane. Explain how you would use the equations of the lines to find the equation of the plane.

What is Lagrange鈥檚 identity? How is it used to understand the geometry of the cross product?

Find a vector of length 3 that points in the direction opposite to1,-2,3.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Mechanics 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.