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Chapter 9: Q. 16 (page 603)

Use the vectors in the figure at the right to graph each of the following vectors.

2u-3v+w

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given Information 

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

02

Step 2. Plotting the graph  

At first, we find out the vector 2uwhich is twice the magnitude of vector u.

Next we find the vector -3vwhich has magnitude thrice the vector vand a director opposite to the vector v.

So, we join the terminal point of 2uwith the initial point of vector -3v.

Then we add the vector wby joining the terminal point of vector -3vwith the initial point of vector w.

The resultant vector 2u-3v+wis obtained by joining the initial point of vector 2uwith the terminal point of vector w.

The graph of the resultant vector is

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