Preliminaries
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A Brief Introduction to ℝn
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Introduction to Vectors
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Length of a Vector
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Vector Arithmetic
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Standard Unit Vectors in ℝn
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Unit Vector in the Direction of a Given Vector
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Dot Product and its Properties
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Dot Product and Angle
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Orthogonal Projections
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Cross Product and its Properties
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Parametric Equations of Lines
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Planes in ℝ3
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Vocabulary and Review Problems
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Overall
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https://ximera.osu.edu/certificate/H4sIAAAAAAACAyWMsQ6CMBRFf8V0FmiB1qabcXBxcNCF7QEPbVLAvLbGxPjvtjrd3JN77pstMCMz7BjRh83VI7EtizkMe9kZCcrVxxLHWGXqKwWtlEqpUeoepOBi1JMWk07aCCFf1bxWBd8VXFyENrwxtShb2XRpMayRfN5Uzi4IBO6GPcGzqU6%2Fvv%2F3wx0eAalDWpMUbHDZORM6O9sFyKJP3A8rJc4%2FX1VQ21HFAAAA/ADqAa7ECPfiD%2FrdilLzcYx2Qu1qmSYk1il1JKB8pYSJgahMa9kPW%2Fj181tn%2Bq1Bq9kcNnY%2F5TAaoAuq91twRlfCld%2F%2Fhxm0x0DWtXLnwTcWKJCHcUduAVwo7EBk5aSog58QD%2F%2BIwru66DFVJEDM%2BNcUjFPlFeomJ1p9bwJsTWD%2BW%2FmSFdTF1i4ch5gVSXT6i765MagOGvZ2FeQE%2FYNNmYLpEusVXv59DPthE3Hksylf1FCNgus0uwtU%2F9a27%2FRcBHwxN%2F7IsvC4AxzJVY1RkI5GBt4vigGanr74Ipw2zYhygiHSEX0aBL772Cctkmv9%2B4MFn5d9f5PlKAaP2TL0qfQ%3D%3D