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Chapter 9: Q. 28 (page 630)

Use the figure to graph each of the following:

2u+3v

Short Answer

Expert verified

Graph is :

Step by step solution

01

Step 1. Given information 

We have been given a figure.

We have to graph 2u+3vusing the figure.

02

Step 2. Draw the resulting vector

We know that when we multiply a vector by a scalar we obtain another vector with the same direction but with a different magnitude (length of the vector), if the scalar is negative, the sense also changes, so to find 2u + 3v we have to draw the resulting vectors u and v as shown in the figure:

03

Step 3. 

Now we need to move the starting point of 3v towards the ending point of 2u, preserving the magnitude and direction of the vector, Finally, we join the initial point of 2u with the final point of 3v and obtain 2u

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Most popular questions from this chapter

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

(-2,0)

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=1-2sin胃

In Problems 13鈥�28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

rcos胃=4

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

(-3,蟺)

Match the graph with the polar equation

rsin胃=2
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