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/H4sIAAAAAAACAyWMsQ7CIBRFf8Uw20IpbQqbcXBxcNClG8VXJaHFPMCYGP9d0Onmntxz32TVCxBFDglC3FwCINmSVEKRl10Ade1DquGaaKGB9nLmHWuHSbLJmL5h8zzLQZisXXUsV5zxvmKi4vLcDKodlJB1I7oxL4xPGMqGOruCRu1uMKF%2BtvT467t%2F39%2F1IwKOgD5L0UZXnBOCs4tdNVoImQfjMXP2%2BQKLZTwWxQAAAA%3D%3D/pHKSGoYkeIIOLnyEXe8%2B%2FQ4%2B8TT2sTOxn7r3WDXu3qg6%2FqoLiyKSDrrn8TKffqRGXhBeemEg2BY2kjzKv8Va67QQWDLL8OR%2BQBixT3PigWY28XcBnj6FdIuIZHQACS6%2FxDl6yOeyRNTCycg%2F3l2Yw4mhkTWQd4wSo1sO%2BwWp7vu2qC0NYW5v5hAfLokncX0hz%2FcpzU%2Bv4BwgNYpdAvnmAEHYOoQp5npqaNnpM47e2Ly0dvcp%2BNohLbOJJohjkOJV4xL0Wax46Nzu53u3eNsluzRbv%2BW2tEOu%2F%2FG3GKko8g8SLz9VdvG%2FLzlFIBo8EWbVCb5Tn5uE%2FD4RRZ0A%2FED6ag%3D%3D