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/H4sIAAAAAAACAyWMsQ7CIBRFf8Uw25ZiocpmHFwcHHTp9tq%2BKgkt5gHGxPjvgk439%2BSe%2B2YLzMg0O0b0YXX1SGzNYg7NXmZGgtL5WOIYq0x9pYCPdS8V36kRoVGindphK6ekjRDyleBCFVwWgl%2B40KLRQpb1tunSYnCRfN5U1iwIBPaGPcFzU51%2Bff%2Fvhzs8AlKH5JIUTLDZORNaM5sFyKBP3A%2BOEuefLxdbYR%2FFAAAA/oTx45pRBbPyLKaFeU68jYzYcVXFQgJAUQ8duM8fEHyNYIptZLqAJNml04gU2%2B9Y8tG89y8oieRiCvK5gGcrYBR1T9K9ayNV7OtzXoCo7TkBNJCvZhCchtekBFnh7acyCr1qvR36wxenHlWM87Z%2Fh1hsyKB8mqVBAoAXIyJsMQhy4hl5gnCYeFz24gp408alrKhqaR3Lt7KnAg0FeUsD3NolmkELY%2BUgpdu77b8i4lhsHC5gQ210XC%2FM%2FMW%2FxlPUskM1eP8HGpcus%2FcvfXkk%2BFsPUUz1GRjl%2FVlvuvx%2F7GAWxyjVEzf0sg0CL%2B2torC%2FRvWZztVspdvqOFXyNVfyVhA%3D%3D