/*! 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. 11 If u脳v=uv, what is the geometri... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 11 (page 823)

If u脳v=uv, what is the geometric relationship between u and v?

Short Answer

Expert verified

The vectors u and v are orthogonal.

Step by step solution

01

Step 1. Given Information 

If u脳v=uv, what is the geometric relationship between u and v?

02

Step 2. As we know u×v=uvsinθ

If u脳v=uvthen

sin胃=1胃=90o

Then the relation between u and v, u脳vis perpendicular to any plane containing both u and v.

The vectors u and v are orthogonal.

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 Exercises 54鈥�57 the coordinates of points P, Q, R, and S are given. (a) Show that the four points are coplanar. (b) Determine whether quadrilateral PQRS is a parallelogram. (c) Find the area of quadrilateral PQRS.

P(3, 4, 鈭�2), Q(7, 0, 6), R(2, 1, 7), S(5, 鈭�2, 13)

What point is symmetric to the point (3,鈭�7,鈭�4)with respect to the plane z=1?

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

Explain why two nonparallel vectors and a point uniquely determine a plane containing both vectors and the point.

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

u=4,0andv=0,3
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

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.