During a relay race, runner A runs a certain distance due no…

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→{“version”:”1.1″,”math”:”A→”}  and B→{“version”:”1.1″,”math”:”B→”}  can be added together to give a resultant vector. Which drawing correctly shows the resultant vector?

A boat is being pulled up the middle of a canal at a steady…

A boat is being pulled up the middle of a canal at a steady speed by two horses, one on each side of the canal. The ropes tying the boat to the horses each make an angle of 30° with the lengthwise direction of the canal. If the force exerted on each horse by its rope is 2000 N, how much force would a single rope need to accomplish the same effect as the two forces added together?