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/H4sIAAAAAAACAyWMMQvCMBCF%2F4pktk1I27R2EwcXBwddul3TqwbSRi6JCOJ%2FN1E4eLyP992brbAg69kxog%2Bbq0diWxZz9OxlFiQonY8lTpFn6rnaTWqcZlDQzG2jQTeybTspkzZByK%2BkkKoQdSG6ixR9XaUra1kNaaFdJJ833JoVgcDecCR4Vvz06%2Ft%2FP9zhEZAGJJekYILNzpnQmsWsQAZ94l47Slx8vmjg7z3FAAAA/0wmDt6en3hSipn9ubXmwAkGdx2KKrdoOu6XUBMOWhr%2FioAisDYf7a4UjllZ5QPSAhscZ8tGtirzoNHpIiOBT1xtHQ20B9T15NRUyPfe88Mcrho%2F7ySUrQjYqVbHJTwKvAOVOf3l%2FjKsjVM%2F1Sky9uxFmSJ5whGhsCxJboz9Ssz6a3%2FdpjXYuyr5JEzUe%2Fs%2BSzlQXntL5oeFtpM7t2M4lQMszSooUv4H28jbthqxykHtQybYYyJBZs5yEOgrzwOubuhM62qbdAvSoe5KR1DBjk0o4cXuGhdjY5Sk%2Bjs9RRWe4xkd9SQ8qNjzqOVPRCDcqucXDkdW2HncZ1eOHJMUzQA%3D%3D