See attached ### Educational Content: Vector Displacement and Direction#### Problem Description:Suppose you walk **18.0 m** straight west and then **25.0 m** straight north.#### Diagram Explanation (Figure 3.23):- The diagram represents a vector displacement on a Cartesian coordinate system.- Vector **A** indicates the westward displacement (18.0 m) along the negative x-axis.- Vector **B** denotes the northward displacement (25.0 m) along the positive y-axis.- The resultant vector **R** (A + B) is drawn from the origin to the final position, forming the diagonal of the implied right triangle.- A compass next to the graph illustrates cardinal directions: North (N), East (E), South (S), and West (W).#### Questions:1. How far are you from your starting point? - _______ m2. What is the compass direction of a line connecting your starting point to your final position? - _______ ° west of north#### Additional Information:- If you represent the two legs of the walk as vector displacements **A** and **B**, as in Figure 3.23, then this problem asks you to find their sum **R** (R = A + B).

The displacement vector A→can be written as, A→=-18.0 mi^ The displacement vector B→ can be written as, B→=25.0 mj^ The resultant vector is R→=A→+B→=-18.0 mi^+25.0 mj^ The distance from the starting point is found, R=Rx2+Ry2=-18.0 m2+25.0 m2=30.81 m The direction is given by, θ=tan-1RxRy=tan-1-18.0 m25.0 m=-35.75° The negative sign indicates the angle is in clockwise direction. The direction is at 35.75° west of north.

Science

Physics

Suppose you walk 18.0 m straight west and then 25.0 m straight north. y4 A +B=R B E A Figure 3.23 How far are you from your starting point? m What is the compass direction of a line connecting your starting point to your final position? ° west of north