Question

Sketch the vector indicated. (The vectors u and v are shown in the figure.)

Short answer

The sketch of the vector$v-2u=〈7,-2〉$

Step-by-step solution

Step 1. Identifying the coordinates of the points.

The coordinates of the head of the vector is $\begin{array}{l}u=〈-2,3〉\\ v=〈3,4〉\end{array}$

Step 2. Applying the operations.

$2u=-2〈2,3〉$

$2u=〈-4,6〉$

$v-2u=〈3-(-4),4-6〉$

$v-2u=〈7,-2〉$