Eg. l: A boat with a forward velocity in still water of 23 m/s is traveling across a river, directly towards the opposite shore. At the same time, a current of 8 m/s carries the boat down river. Determine the resultant velocity (ie: both magnitude and direction) of the boat. The Parallelogram Law for Adding Two Vectors w, C C b D 4 4 Y _, r r a a > b , , a+b \"p a 0 _' tao'_0_ A .3 A""" -'-a r b b To determine the sum of the two vectors 3 and 7;. complete the parallelogram formed by these two vectors when placed tail to tail. Their sum is the vector m. the diagonal of the constructed parallelogram, E+E=AB+BD=AD ) > Eg.2: Given vectors u and v such that the angle between the two vectors is 30" and their magnitudes are 5 and >> 8 respectively, determine u+ v Eg.3: Express each difference as a single vector using the diagram below. a Qs-US b) SQ- SU U R T SRecall: a scalar is a quantity measured by only a number. For any vector, u , multiplied by a scalar k, the resulting vector k - u ; i) ii) iii) iv) Eg.1: A car is traveling at 100 km/h East. The cars velocity is represented by v . ) ) > Draw vectors 0.5 v , 2 v , v and given an interpretation for each. Scale: 1 cm is equivalent to 10 km/h