rev1_fall11_2313

# rev1_fall11_2313 - MAC 2313 Review Exam 1 09/01/2011 To...

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MAC 2313 Review Exam 1 09/01/2011 To know list: Distance formula Equation of a sphere Identify radius and center. Identify regions through inequalities. Understand diﬀerence between point and vector How to ﬁnd vector AB from given points A and B Vector addition and diﬀerence. Component and standard basis vectors notation. Unit vector Dot product deﬁnition Dot product theorems (using cosine) Deﬁnition of direction cosines Identity of direction cosines Deﬁnition of vector projection Deﬁnition of cross product and computation Deﬁnition of triple product and computation Geometric interpretation of cross and triple prod. Identify parallel/orthogonal vectors/lines Parametric and symmetric equations of a line. Identify pairs of skew lines. 1. Find the equation of the sphere that lies in the ﬁrst octant and is tangent to all three coordinate planes xy - plane, xz - plane and yz - plane and has radius one. 2. Given the two points

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## This note was uploaded on 12/15/2011 for the course MAC 2313 taught by Professor Keeran during the Spring '08 term at University of Florida.

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rev1_fall11_2313 - MAC 2313 Review Exam 1 09/01/2011 To...

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