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/H4sIAAAAAAACAyWMsQ7CIBRFf8Uw20LRWspmHFwcHHTp9qRPJaHFPMCYGP9d0Onmntxz32yGCZlm%2B4QhLs4BiS1ZKqHZy05IUPuQahwTLzTwTWdkA625qh77bhQCFHRKYtZGiOVKCtlWQlZSnaTQTa%2FXot4oOeSF8YlC2XBnZwQCd8MLwXPFD7%2B%2B%2FffdHR4RaUDyWYo2uuIcCZ2d7AxkMWQejKfMxecLhS4w3cUAAAA%3D/AJ3zCiMSs%2F7%2F2k1uURLd60kG6CCOs8s71lycj9DG7IggMoXFKdNfHcPmAjfRZTVHr1FK0al4RW1ySrLkHiHhHJn46sqFBSb2TNSnkzSccIBi2IAOh9soBU7ka7jQ2CBONfWUvbHZQLsne3N5It29flcmhhFNEl6g52%2FKo%2FEp8auJbK9cd8tNt1QCAmBbD4Vz1OkiCjt41kHcto376WiS%2FC%2FVwvnivuRc%2BJyZKwYNx5zn63BNnD844CU9ISTrIgq9uiu5UqfX3yuOIMjVfZGX6UAvSf53Puc2RvvNTmcN%2BAthCVxMqSlaPpR9QPrR3zCDs6ZvavqfitohoIstN1CRxw%3D%3D