FIGURE 13 x² + y² + z sketched in F

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

First question 

how to graph this ( 4,0,-3) for x,y,z

FIGURE 13
Thus the given inequalit
x² + y² + z² = 1 and x
sketched in Figure 13.
12.1
EXERCISES
1. Suppose you start at the origin, move along the x-axis a
distance of 4 units in the positive direction, and then move
downward a distance of 3 units. What are the coordinates
of your position?
2. Sketch the points (1, 5, 3), (0, 2, -3), (-3, 0, 2), and
(2, -2, -1) on a single set of coordinate axes.
3. Which of the points A(-4, 0, -1), B(3, 1, -5), and C(2, 4, 6)
is closest to the yz-plane? Which point lies in the xz-plane?
4. What are the projections of the point (2, 3, 5) on the xy-, yz-,
and xz-planes? Draw a rectangular box with the origin and
(2, 3, 5) as opposite vertices and with its faces parallel to the
coordinate planes. Label all vertices of the box. Find the length
of the diagonal of the box.
5. What does the equation x = 4 represent in R2? What does it
represent in R³? Illustrate with sketches.
6. What does the equation y = 3 represent in R³? What does
z = 5 represent? What does the pair of equations y=3₁ z = 5
represent? In other words, describe the set of points (x, y, z)
such that y = 3 and z = 5. Illustrate with a sketch.
Transcribed Image Text:FIGURE 13 Thus the given inequalit x² + y² + z² = 1 and x sketched in Figure 13. 12.1 EXERCISES 1. Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward a distance of 3 units. What are the coordinates of your position? 2. Sketch the points (1, 5, 3), (0, 2, -3), (-3, 0, 2), and (2, -2, -1) on a single set of coordinate axes. 3. Which of the points A(-4, 0, -1), B(3, 1, -5), and C(2, 4, 6) is closest to the yz-plane? Which point lies in the xz-plane? 4. What are the projections of the point (2, 3, 5) on the xy-, yz-, and xz-planes? Draw a rectangular box with the origin and (2, 3, 5) as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box. Find the length of the diagonal of the box. 5. What does the equation x = 4 represent in R2? What does it represent in R³? Illustrate with sketches. 6. What does the equation y = 3 represent in R³? What does z = 5 represent? What does the pair of equations y=3₁ z = 5 represent? In other words, describe the set of points (x, y, z) such that y = 3 and z = 5. Illustrate with a sketch.
Expert Solution
steps

Step by step

Solved in 2 steps with 6 images

Blurred answer
Knowledge Booster
Embedded software development
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education