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/H4sIAAAAAAACAyWMPQ%2FCIBRF%2F4phtqVAP9mMg4uDgy7doH0qCS3mAcbE%2BN8FnW7uyT33TVa1AJHkEMGHzcUDki2JOSR5mQVQlc7HEuZIM%2FW0HYSudTOIrte9ntvumkJXddJmFfIVr3hTMF4wduZcNkIyUdZDP6bF5CL6vKHWrKBQ2RtoVE9Bj7%2B%2B%2B%2Ff9XT0C4AjokhRMsNk5IVizmFWhAZ%2B4nxwmXn2%2BQ9YByMUAAAA%3D/FWKDhW9JEPFlAOQU0M0dbQLKSu6h%2FuoqIw4WQbRpcUeMq22xA7cjFIyo%2FQpuaxeipRtoMmXoc5KYe2oSDXh4w48Oh7WiG3YNMHrB%2FzVtdNhPbN%2FA1Zi6QpUnU%2F3Z2hDsoR0cVD%2FrF7yw48GTHHq%2FSVfKeFrLYJjDmzpdBNKSOiHuoWkjIH3QfeBIjrLZvy0heSJdAT7x2oUy1cjmcMboAN8fFUpAon1E6lpKoPW6FM0soqgZmSjauzxZ%2FksDR099s%2B1rKAJc5VgNYt85ajpUNrhJ99x7iGs1IQL96yyBgxiOuYyZYOWipl9udpixxnpwfOrwxXLU1c6KZWrjd59YuQ%3D%3D