/*! 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} Q22P Find the angle between the given... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q22P (page 112)

Find the angle between the given planes.

2x-y-z=4and3x-2y-6z=7

Short Answer

Expert verified

The angle between the planes 胃=35.3.

Step by step solution

01

Concept and formula used

The angle formed by the planes and the normal to the planes is same.

To determine the angle between the vectors by using the formula胃=cos-1A脳B|A||B|.

02

Find the angle

The given planes are,2x-y-z=4 and 3x-2y-6z=12.

Calculating gives the values as below:

A=A=(2)2+(-1)2+(-1)2=6B=B=(3)2+(-2)2+(-6)2=7A脳B=(2)(3)+(-1)(-2)+(-1)(-6)=6+2+6=14

Now find the angle:

胃=cos-1A脳BAB=cos-1147脳6=cos-126=35.3

The angle between the planes 胃=35.3.

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 the equation of the plane through and perpendicular to both planes in Problem 22.

Find the eigenvalues and eigenvectors of the real symmetric matrix

M=(AHHB)

Show that the eigenvalues are real and the eigenvectors are perpendicular.

Do problem 26if 胃=蟺/2,蠒=蟺/4 .

Question: Show that the unit matrix lhas the property that we associate with the number 1, that is,IA = AandAI = A, assuming that the matrices are conformable.

Compute the product of each of the matrices in Problem 4with its transpose [see (2.2)or (9.1)in both orders, that isAATandATA, etc.
See all solutions

Recommended explanations on Physics Textbooks

Thermodynamics

Read Explanation

Fields in Physics

Read Explanation

Dynamics

Read Explanation

Quantum Physics

Read Explanation

Magnetism

Read Explanation

Oscillations

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.