15 20 tan 0 0 1 Let the resulta 0 tan 0 75 36 Thus the
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15 20 tan 0 0 1 Let the resulta 0 tan 0 75 36 Thus the resultant of two new forces P an and angle between them is 36 52 EXAMPLE 161 Person Walks in Different Directions A person walks in the following pattern 3 1 km North then 2 4 km West and finally 5 2 km South i Sketch the vector diagram that represents this motion ii How far the person will be from its initial point iii In what direction would a bird fly in a straight line from the same starting point to the same final point Label the displacement vectors A B and C and denote the result of their vector sum as r now choose East as the i direction x direction and North as the j direction y direction All distances are understood to be in kilometres yectors B and C are taken as negative because 7 to our assumption person walks in x and y