Plot the points on the same three-dimensional coordinate system. (a) (2, 3, 1) (b) (-1, 4, 2) 8. z - 10 - 10 10. 10. 10 10 - 10 -10 5 10 10. 10 10 co64 20 CO 64 NO
Plot the points on the same three-dimensional coordinate system. (a) (2, 3, 1) (b) (-1, 4, 2) 8. z - 10 - 10 10. 10. 10 10 - 10 -10 5 10 10. 10 10 co64 20 CO 64 NO
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:**Plot the Points on a Three-Dimensional Coordinate System**
You are tasked with plotting the following points on the same three-dimensional coordinate system:
**(a)** \( (2, 3, 1) \)
**(b)** \( (-1, 4, 2) \)
**Explanation of the Graphs:**
The image contains four 3D coordinate plots with varying orientations of the axes (X, Y, Z). Each plot displays two purple points representing the coordinates provided above.
- **Axes Orientation:**
- The X-axis runs horizontally from -10 to 10.
- The Y-axis runs vertically from 0 to 10.
- The Z-axis runs vertically in the depth direction from -10 to 8.
- **Point A (2, 3, 1):**
- Located in the positive quadrant where all coordinates are positive.
- X-coordinate is at approximately 2, Y-coordinate is at 3, and Z-coordinate is at 1.
- **Point B (-1, 4, 2):**
- Located in a region with a negative X-coordinate.
- X-coordinate is at approximately -1, Y-coordinate at 4, and Z-coordinate at 2.
Each plot offers a perspective to assess the spatial relationships between the points from different viewpoints.
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