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Summary: The sources explain that mixed tensors are mathematical objects whose components transform according to their index positions, with upper indices behaving contravariantly and lower indices behaving covariantly relative to coordinate changes. Geometrically, these components serve distinct roles in non-orthogonal or skewed systems: contravariant components act as directional instructions for "building" a vector by travelling parallel to coordinate grid lines, while covariant components represent the vector's projection—or shadow—onto a specific axis, measured as "how much" of the vector points in that direction. By combining these properties into a single transformation formula involving partial derivatives, mixed tensors allow for a comprehensive mathematical description of physical vectors that accounts for both navigation and measurement across different coordinate frameworks.