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

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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Question

### 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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