2. Adding vectors ' Triangle method of addition. Draw vector 3 with the tail starting at the tip of vector 3, then the resultant vector E = Z + E is the vector drawn from the tail of Z to the tip of E _, _,_) Commutative law(l%) of addition: 3 + B = 15\" + H. Subtraction: A B = H + (3) Multiplying or dividing a vector by a scalar: 33, is a vector with a magnitude three times of H, and in the same direction. -3A, is a vector with a magnitude three times of A, and in the opposite direction. ' Exercise 1: The magnitudes of two vectors are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector? ' Exercise 2: Graphically determine the magnitude and direction of the displacement if a man walks 30.0 km 45 east of north and then walks due east 20.0 km. (FEiEE'HE @i)