Question

In Problems 14–18, $P_1=\left(3\sqrt{2},7\sqrt{2}\right)$and $P_1=\left(8\sqrt{2},2\sqrt{2}\right)$.

Decompose $\mathbf{v}$into its vertical and horizontal components.

Short answer

The answer is$\mathbf{v}=5\sqrt{2}\hat{i}-5\sqrt{2}\hat{j}$

Step-by-step solution

Step 1. Given information

The points are

$$\begin{gathered} P_1=\left(3\sqrt{2},7\sqrt{2}\right) \\ {P}_2=\left(8\sqrt{2},2\sqrt{2}\right) \end{gathered}$$

Step 2. Decompose v into its vertical and horizontal components.

The vector $\mathbf{v}$is

The decomposition of vector into its vertical and horizontal components is$5\sqrt{2}\hat{i}-5\sqrt{2}\hat{j}$