/*! 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. 71 Computer Graphics聽The field of ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 71 (page 604)

Computer GraphicsThe field of computer graphics utilizes vectors to compute translations of points. For example, if the point (-3,2)is to be translated by v=5,2, then the new location will be u'=u+v=-3,2+5,2=2,4. As illustrated in the figure, the point (-3,2) is translated to (2,4)by v.

Source: Phil Dadd. Vectors and Matrices: A Primer. www.gamedev.net/reference/articles/article1832.asp

(a) Determine the new coordinates of (3,-1)if it is translated by v=-4,5.

(b) Illustrate this translation graphically.

Short Answer

Expert verified

The new coordinates will be (-1,4).

Step by step solution

01

Part (a) Step 1. Find new coordinates of (3,-1)

u'=u+v=-3,2+5,2=2,4

Therefore, new coordinates of (3,-1)can be found as:

3,-1+-4,5=3-4,-1+5=-1,4

02

Part (b) Step 1. Illustrate this translation graphically

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 Problems 13鈥�28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

rsin胃=4

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=4sin5胃

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=2sin3胃

Find zw and zw. Leave the answers in polar form.

z=1-iw=1-3i

Use the figure at the right. Determine whether the given statement is true or false.

C=D-E+F
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

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.