Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 10: Q. 11 (page 788)

What point is symmetric about the origin to the point(5,−6,7)?

Short Answer

Expert verified

The symmetric point to the origin(5,-6,7)is (-5,6,-7).

Step by step solution

01

Introduction.

If(a,b)andlocalid="1654144561844" (-a,-b) are on a graph, it is said to be symmetric about the origin.

02

Given Information.

Consider the following statement:

(5,-6,7)

The goal is to find this same point about origin that really is symmetric to this point.

03

Explanation.

Because the xand z coordinates are positive and the ycoordinate is negative, the point (5,-6,7)is in the third octant.

The symmetric point well about origin to this juncture will be in the sixth octant.

Both the x and y coordinates are negative in the sixth octant, while the y coordinate is positive.

As a result, the point symmetric to a point (5,-6,7)about origin is(-5,6,-7).

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

Find a vector in the direction of 9,0,-6and with magnitude 7.

In Exercises 24-27, find compuv,projuv and the component of v orthogonal tou.

u=2,0,-5,v=-3,7,-1

Find PQ→.

P=(3,6),Q=(−3,−2)

Suppose that we know the reciprocal rule for limits: If limx→cg(x)=Mexists and is nonzero, then limx→c1g(x)=1MThis limit rule is tedious to prove and we do not include it here. Use the reciprocal rule and the product rule for limits to prove the quotient rule for limits.

Find the norm of the vector.v=0,0,6
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

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.

Sign-up for free