Question

Find $u+vandu-v$also sketch $u,v,u+v,u-v$

$u=\left(4,0\right)andv=\left(0,3\right)$

Short answer

The required value of$u+v=\left(4,3\right)$and$u-v=\left(4,-3\right)$.

Step-by-step solution

Step 1. Given information.  

We have given vector$u=\left(4,0\right)andv=\left(0,3\right)$.

Step 2. Find the values of u+v and u-v.

$$\begin{gathered} u+v=\left(x_1+x_2,y_1+y_2\right) \\ =\left(4+0,0+3\right) \\ =\left(4,3\right) \end{gathered}$$

and

$$\begin{gathered} u-v=\left(x_1-x_2,y_1-y_2\right) \\ =\left(4-0,0-3\right) \\ =\left(4,-3\right) \end{gathered}$$

Step 3. Sketch u, v, u+v and u-v.

The graph of vector $u+v$.

The graph of vector $u-v$.