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Unformatted text preview: Study Guide for Exam 1 12.112.2: Vectors and lines. Know: point , origin , vector , equivalent vec- tors , position vector , zero vector , scalar , linear combination , standard basis vectors , coordinate planes . (all in 2 and 3 dimensions!) Know the notation for vectors and be able to write them in components. Know how to compute the magnitude of vectors, and what is a unit vector and how to make a unit vector in the direction of a given vector. Know the algebraic laws for vector manipulation and know the parallelogram law . Know how to find parametric equations for a line (given its description for example two points on the line, or a point and a vector) and how to find the intersection of two lines. Finally know the right hand rule orientation . 12.3: Dot product. Know definition and properties of the dot product. Be able to compute it. Know how it relates to the angle between two vectors....
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