a-(-3,-5) and 6-(1,4). Representa + busing the parallelogram method. Use the Vector tool to draw the vectors, complete the parallelogram method, and draw a +b. To use the Vector tool, select the initial point and then the terminal point. +Move Vector ◆ Undo Redo * Reset 10 Y 9 8 7 6 5 3 2 1 6 -10 -9 -6 -7 -6 -2 -19 -10 ch 7 de 1 2 3 4 5 7 8 9 10 X

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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Can someone please use a marker and graph the plots please? Thank you
### Vector Addition Using the Parallelogram Method

Given vectors: 
\[ \vec{a} = \langle -3, -5 \rangle \]
\[ \vec{b} = \langle 1, 4 \rangle \]

### Objective:
Represent \(\vec{a} + \vec{b}\) using the parallelogram method.

### Instructions:
1. Use the **Vector tool** to draw the vectors.
2. Complete the parallelogram method.
3. Draw the resultant vector \(\vec{a} + \vec{b}\).

To use the Vector tool, select the initial point and then the terminal point.

### Graph:

The provided graph is a coordinate plane with both x and y axes ranging from -10 to 10. The x-axis and y-axis intersect at the origin point (0,0). Each axis step is marked to facilitate precise plotting.

- To draw vector \(\vec{a}\) from the origin, move 3 units to the left and 5 units down, ending at the point (-3, -5).
- To draw vector \(\vec{b}\) from the origin, move 1 unit to the right and 4 units up, ending at the point (1, 4).

### Parallelogram Method:
1. Draw vector \(\vec{a}\) from the origin.
2. From the tip of \(\vec{a}\), draw vector \(\vec{b}\).
3. Draw vector \(\vec{b}\) from the origin.
4. From the tip of \(\vec{b}\), draw vector \(\vec{a}\).

The diagonal of the resulting parallelogram, starting from the origin, represents the resultant vector \(\vec{a} + \vec{b}\).

### Resultant Vector:
The final step is to draw the resultant vector \(\vec{a} + \vec{b}\), which is calculated by summing the components of \(\vec{a}\) and \(\vec{b}\):
\[ \vec{a} + \vec{b} = \langle -3 + 1, -5 + 4 \rangle = \langle -2, -1 \rangle \]

This vector starts at the origin (0,0) and ends at the point (-2, -1).

### Tools:
Ensure to use
Transcribed Image Text:### Vector Addition Using the Parallelogram Method Given vectors: \[ \vec{a} = \langle -3, -5 \rangle \] \[ \vec{b} = \langle 1, 4 \rangle \] ### Objective: Represent \(\vec{a} + \vec{b}\) using the parallelogram method. ### Instructions: 1. Use the **Vector tool** to draw the vectors. 2. Complete the parallelogram method. 3. Draw the resultant vector \(\vec{a} + \vec{b}\). To use the Vector tool, select the initial point and then the terminal point. ### Graph: The provided graph is a coordinate plane with both x and y axes ranging from -10 to 10. The x-axis and y-axis intersect at the origin point (0,0). Each axis step is marked to facilitate precise plotting. - To draw vector \(\vec{a}\) from the origin, move 3 units to the left and 5 units down, ending at the point (-3, -5). - To draw vector \(\vec{b}\) from the origin, move 1 unit to the right and 4 units up, ending at the point (1, 4). ### Parallelogram Method: 1. Draw vector \(\vec{a}\) from the origin. 2. From the tip of \(\vec{a}\), draw vector \(\vec{b}\). 3. Draw vector \(\vec{b}\) from the origin. 4. From the tip of \(\vec{b}\), draw vector \(\vec{a}\). The diagonal of the resulting parallelogram, starting from the origin, represents the resultant vector \(\vec{a} + \vec{b}\). ### Resultant Vector: The final step is to draw the resultant vector \(\vec{a} + \vec{b}\), which is calculated by summing the components of \(\vec{a}\) and \(\vec{b}\): \[ \vec{a} + \vec{b} = \langle -3 + 1, -5 + 4 \rangle = \langle -2, -1 \rangle \] This vector starts at the origin (0,0) and ends at the point (-2, -1). ### Tools: Ensure to use
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