Q 26. - Calculus

Question

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

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

Step-by-Step Solution

Answer

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

Step 1. Given information.

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

Step 2. Find the values of u + v   a n d   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   a n d   u - v .

The graph of vector $u+v$.

The graph of vector $u-v$.