Chapter 9: Q. 15 (page 603)

Use the vectors in the figure at the right to graph each of the following vectors.
$3 v + u - 2 w$

Short Answer

Expert verified

The graph is

Step by step solution

Step 1. Given Information

We are given three vectors $u, v, w$ and we need to graph the vector $3 v + u - 2 w$ .

Step 2. Plotting the graph

At first, we find out the vector $3 v$ which is thrice the magnitude of vector $v$ .

Then add it with the vector $u$ by joining the terminal point of vector $3 v$ with the initial point of vector $u$ .

Next we find the vector $- 2 w$ which has magnitude twice the vector $w$ and a director opposite to the vector $w$ .

So, we join the terminal point of $u$ with the initial point of vector $- 2 w$ .

The resultant vector $3 v + u - 2 w$ is obtained by joining the initial point of vector $3 v$ with the terminal point of vector $- 2 w$ .

The graph of the resultant vector is

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Use the vectors in the figure at the right to graph each of the following vectors.
$3 v + u - 2 w$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Plotting the graph

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Use the vectors in the figure at the right to graph each of the following vectors. 3v+u-2w

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Plotting the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Pure Maths

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Use the vectors in the figure at the right to graph each of the following vectors.
$3 v + u - 2 w$