Objective 1: Compute Dot Product For Exercises 7.14, for the given vectors, nd a. V ' W b. V - V c.WW (See Example 1) 7.v= (-35), w: (10, 8) Answer For Exercises 15-LI 18, use the dot product to find the magnitude of the vector. 15. v = 4i - 8j AnswerFor Exercises 19. 28, use vectors 11 = (4, 1) , v = (5, 2), and W = (0, 6) to perform the indicated operation. Then Page 797 determine whether the result is a scalar or a vector. 19. 4v- w Answer u Exercise: Using Dot Product to Find the Angle Between Two Vectors I IPDF Transcript for Exercise: Using Dot Product to Find the Angle Between Two Vectors _ ng=_ 37.v=(1,7), w= (12,8) 7 '1', : _ _ . .I ' a " .1 f o 41. If |v|| = 10 and |W|| = 6 and the angle between v and w is 30, nd v - W. Answer I_l I: Exercise: Using Dot Product to Determine if Two Vectors are Orthogonal E] PDF Transcript for Exercise: Using Dot Product to Determine if Two Vectors are Orthogonal 1? L For Exercises 61. 64, nd the work done by the given force F acting in the direction from pointA to point B. Assume that the units in the coordinate plane are in meters. 61.A(3, 1), 3(8, 11); IIFII =400N Answer 75. A tree removal service hooks a chain around the stump of a tree and attaches the other end of the chain to a pickup truck. Page The truck drags the stump horizontally 40 m to a wood chipper. The chain is directed upward 32 from the horizontal and the tension in the chain is 15,000 N. Find the amount of work done. Round to the nearest N - 111. (See Example 7)