The magnitude of the vector D → = A → − B → and the angle it makes with respect to the +x axis.

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Chapter 3, Problem 38QAP

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The magnitude of the vector D→=A→−B→ and the angle it makes with respect to the +x axis.

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CHAPTER 3 Vectors 68 Example 3.3 The Sum of Two Vectors Find the sum of two vectors A and B lying in the xy plane and given by A = (2.01 + 2.0j) m B = (2.0î – 4.0j) and %3D ות %3D Solution You may wish to draw the vectors to conceptualize the situation. We calegorize this as a simple plug-in problem. Comparing this expression for A with the general expres- sion A = A, i + A,j, we see that A Likewise, B = 2.0 m and B, = - 4.0 m. We obtain the resul- tant vector R, using Equation 3.14: 2.0 m and A, = 2.0 m. %3D %3D R = A + B = (2.0 + 2.0)î m + (2.0 – 4.0)j m = (4.0i – 2.0j) n or R= 4.0 m R, = - 2.0 m %3D