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/H4sIAAAAAAACAyWMsQ7CIBRFf8Uw20KLraWbcXBxcNCl26M8lYS25gHGxPjvgk439%2BSe%2B2YzTMh6dojow%2BrikdiaxRw9e9kJCcrFxxJN5Jl63iqttVFm21ZGd91101ayk3WTNAMhX9Wibgshi0qdheor0TeybLZqSItxieTzhjs7IxC4G2qCp%2BTHX9%2F9%2B%2F4Oj4A0IC1JCja47JwInZ3sDGTRJ%2B7HhRIXny%2FknrNwxQAAAA%3D%3D/xQ5Y5KbFWnr5sBZxdIGvL5QK7pd5AAbn6V38KyCls5isUJWTNkzBRCq1XtY2KhibGR78jzhL%2BnOBLIWenS%2BCD%2Fu3PJm8F%2FD2jrv%2FfTKDWTCXFGc0CbfZZPv9uNJx%2Fdb9TTtJTWJVLXNCQizqnxiWICq3vS2s2edDYYH2fyW6O%2B8o5Z9SKFr34YepyiBYlIBCWjLLYwZY9p4RVoJ%2FYEmJ992Z9M7GG7GBFJe6bFDshlzltvcCQzOnqsdFdeiphJPclezU8K4vbSnhRnJo1C9Usx7VPBzp0Zf2JV27gdqw1M3F%2BpF92efsJ3%2BD0hN%2F1%2B5ig153TvuYKWlEpmFIjtIpDg%3D%3D