Question

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

$3v+u-2w$

Short answer

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 $3v+u-2w$.

Step 2. Plotting the graph 

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

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

Next we find the vector $-2w$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 $-2w$.

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

The graph of the resultant vector is