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1. Graph the vectors a) (-3,0,0) Axis? b) (0,5.0) Axis? --

1. Graph the vectors a) (-3,0,0) Axis? b) (0,5.0) Axis? --

Calculus: Early Transcendentals
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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### Vector Graphing Exercise **1. Graph the vectors:** **a) \(-3, 0, 1\)** In this graph, the vector \(-3, 0, 1\) is visualized in a 3-dimensional coordinate system with x, y, and z axes. The vector starts at the origin (0, 0, 0) and points to the coordinates \(-3\) on the x-axis, \(0\) on the y-axis, and \(1\) on the z-axis. The grid lines provide a reference to show the position of the vector in the coordinate plane. **b) \(0, 5, 0\)** In this graph, the vector \(0, 5, 0\) is visualized in a similar 3-dimensional coordinate system. The vector starts at the origin (0, 0, 0) and points to the coordinates \(0\) on the x-axis, \(5\) on the y-axis, and \(0\) on the z-axis. Again, the grid lines serve as a reference to accurately place the vector in the coordinate plane. ### Diagrams Explanation: - Each diagram consists of a 3-dimensional coordinate plane featuring the x, y, and z axes. - Vectors are represented by arrows starting from the origin and pointing towards the given coordinates. - Grids are used to help visualize the spatial relationships and positions of the vectors in the 3-dimensional space. - The vector in part a) extends from the origin to \(-3\) on the x-axis and \(1\) on the z-axis. - The vector in part b) extends from the origin to \(5\) on the y-axis. These visual aids help in comprehending the direction and magnitude of vectors in a 3-dimensional space.
Transcribed Image Text:### Vector Graphing Exercise **1. Graph the vectors:** **a) \(-3, 0, 1\)** In this graph, the vector \(-3, 0, 1\) is visualized in a 3-dimensional coordinate system with x, y, and z axes. The vector starts at the origin (0, 0, 0) and points to the coordinates \(-3\) on the x-axis, \(0\) on the y-axis, and \(1\) on the z-axis. The grid lines provide a reference to show the position of the vector in the coordinate plane. **b) \(0, 5, 0\)** In this graph, the vector \(0, 5, 0\) is visualized in a similar 3-dimensional coordinate system. The vector starts at the origin (0, 0, 0) and points to the coordinates \(0\) on the x-axis, \(5\) on the y-axis, and \(0\) on the z-axis. Again, the grid lines serve as a reference to accurately place the vector in the coordinate plane. ### Diagrams Explanation: - Each diagram consists of a 3-dimensional coordinate plane featuring the x, y, and z axes. - Vectors are represented by arrows starting from the origin and pointing towards the given coordinates. - Grids are used to help visualize the spatial relationships and positions of the vectors in the 3-dimensional space. - The vector in part a) extends from the origin to \(-3\) on the x-axis and \(1\) on the z-axis. - The vector in part b) extends from the origin to \(5\) on the y-axis. These visual aids help in comprehending the direction and magnitude of vectors in a 3-dimensional space.
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