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During a relay race, runner A runs a certain distance due north and then hands off the baton to runner B, who runs for the same distance in a direction south of east. The two displacement vectors A and B can be added together to give a resultant vector R. Which drawing correctly shows the resultant vector? North North North North B B B B A R R R R East East East East (1) (2) (3 (4) O (2) O (4) O (3) O (1)How is the magnitude R of the resultant vector R related to the magnitudes A and B of the vectors A and B? R O The magnitude of the resultant vector R is less than the sum of the magnitudes of A and B, or R A + B. O The magnitude of the resultant vector R is equal to the sum of the magnitudes of A and B, or R = A + B.Suppose that vector A has a magnitude of 3.0 km and is directed due north. Furthermore, suppose that vector B has a magnitude of 4.0 km and is directed due east, as the drawing shows. What is the magnitude of the resultant vector R? North B R East O 5.0 km O 7.0 km O There is insufficient data to determine the magnitude of R. O 8.5 km