Engineering Calculus Notes 88

Engineering Calculus Notes 88 - 76 CHAPTER 1. COORDINATES...

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Unformatted text preview: 76 CHAPTER 1. COORDINATES AND VECTORS and its signed area is 1 2 11 2 −1 1 [(1)(−1) − (2)(1)] 2 1 = [−1 − 2] 2 3 =− ; 2 = you can verify from Figure 1.37 that the path A → B → C → A traverses the triangle clockwise. 6 B (−2, 5) 5 4 A(−3, 4) 3 C (−1, 3) 2 1 0 -1 -3 -2 -1 0 1 Figure 1.37: Oriented Triangle △ABC , Negative Orientation Finally, the triangle with vertices A(2, 4), B (4, 5) and C (3, 3) (Figure 1.38) has − − → →→ AB = 2− + − ı − →−− AC = → − → ı ...
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