A sailor in a small sailboat encounters shifting winds. She sails 2.00km west, then 
3.50km southwest, then an additional distance in an unknown direction. Her final 
position is 5.80km directly west of the starting point (refer to the given figure). 
(a) Find the magnitude and direction of the third leg of her journey. 
(b) Verify your answer by drawing the vector addition diagram.

A vector A (arrowbold) has a magnitude of 54.0 m and points in adirection 20° below the positive x axis. A second vector, B(arrowbold), has a magnitude of 75 m and points in a direction48.0° above the positive x axis. Using the component method ofvector addition, find the magnitude and direction of the vector C(arrowbold) = A (arrowbold) + B (arrowbold).
magnitude m
direction ° (counterclockwise from the +x axis)

Vector Addition Problem
Question Details
A football player runs the pattern given in the drawing by thethree displacement vectors , , and . The magnitudes of thesevectors are A = 5 m, B = 11.0 m, and C = 18.0 m. Using thecomponent method, find the magnitude and direction ? of theresultant vector + + . (Assume that up along the screen is thepositive y-axis and that right is the positive x-axis.)
magnitude ___________________ m
direction ___________________ ° below the positive x-axis

Vector Addition Problem
Question Details
A football player runs the pattern given in the drawing by thethree displacement vectors , , and . The magnitudes of thesevectors are A = 5 m, B = 11.0 m, and C = 18.0 m. Using thecomponent method, find the magnitude and direction ? of theresultant vector + + . (Assume that up along the screen is thepositive y-axis and that right is the positive x-axis.)
magnitude ___________________ m
direction ___________________ ° below the positive x-axis