: A plane flies 40 km due S, and then flies 60 km at 20 N of W. It then flies 20 km at 30 W of N. What is the plane's displacement?

a. Assign a letter ("A", "B", "C", etc.) to each vector. Record the magnitudes and the angles of each vector into your lab book. b. Write an addition equation for your vectors. For example: A + B + C = R

Vector Addition 2 c. Find the resultant vector by adding the vectors graphically: i. Draw a Cartesian coordinate system. ii. Determine the scale you want to use and record it (example: 1 cm=10 km). iii. Add the vectors by drawing them tip-to-tail. Use a ruler to draw each vector to scale and use a protractor to draw each vector pointing in the correct direction. iv. Label each vector with the appropriate letter, magnitude, and angle. Make sure that the arrows are clearly shown. v. Draw the resultant vector. vi. Use the ruler to determine the magnitude of the resultant vector. Show your calculation, record the result, and draw a box around it. Label the resultant vector on your diagram. vii. Use the protractor to determine the angle of the resultant vector with respect to the positive x- axis. Record the value and draw a box around it. Label this angle on your diagram. d. Find the resultant vector by adding the vectors using the analytical method: i. Calculate the x and y-components of each vector. ii. Find the x-component and the y-component of the resultant vector. iii. Find the magnitude of the resultant vector. Draw a box around your answer. iv. Find the angle that the resultant makes with the positive x-axis. Draw a box around your answer. e. Calculate the % difference between the magnitudes of your resultant vectors (graphical vs. analytical). f. Compare your two angles (measured vs. calculated) by calculating the % difference between them.