Engineering Calculus Notes 52

Engineering Calculus Notes 52 - 40 CHAPTER 1. COORDINATES...

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40 CHAPTER 1. COORDINATES AND VECTORS Similarly, the other two lines B and C are parametrized by −→ p B ( s ) = s 2 −→ a + (1 s ) −→ b + s 2 −→ c −→ p C ( t ) = t 2 −→ a + t 2 −→ b + (1 t ) −→ c . To fnd the intersection oF A with B , we need to solve the vector equation −→ p A ( r ) = −→ p B ( s ) which, written in terms oF −→ a , −→ b and −→ c is (1 r ) −→ a + r 2 −→ b + r 2 −→ c = s 2 −→ a + (1 s ) −→ b + s 2 −→ c . Assuming the triangle ABC is nondegenerate—which is to say, none oF −→ a , −→ b or −→ c can be expressed as a linear combination oF the others—this
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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