Properties of the Dot Product
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The Dot Product in Physics: Calculating the Work Done to Move an Object
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The Dot Product: Vector and Scalar Projections
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Geometric Interpretation of the Dot Product
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Complex Numbers as Rotation Matrices
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The Length of a Cross Product: Proof
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Corollary: Two Vectors are Parallel If and Only If Their Cross Product is Zero
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The Cross Product: Triple Products
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Properties of the Cross Product
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Application of the Cross Product: Torque
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The Dot Product: Vector Angles
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The Dot Product is Equal to Zero for Perpendicular Vectors
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Vectors: Scalar Multiplication
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Vectors: Components and the Position Vector
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Properties of Vectors
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Standard Basis Vectors i, j, k
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Unit Vectors
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Vectors as Forces in Physics and Engineering
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Circle and Cylinder in 3D Coordinates
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Energy Science of Living Buildings
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The Dot Product: Direction Angles and Direction Cosines
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The Cross Product and its Useful Properties
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Sidelights on Relativity by Albert Einstein
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