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The 28 pages that link to Dot product, each with the reason it gives.

• Euclidean spaceRelated: It computes lengths and angles from displacement vectors.

• Cauchy–Schwarz inequalityBroader topic: In coordinates, the inequality bounds the squared dot product by the product of squared lengths.

• Work (physics)Related: It captures why only the force component parallel to displacement contributes to work.

• Matrix multiplicationBroader topic: Each entry of a matrix product is a dot product of one row and one column.

• Cross productCompared with: Unlike the cross product, it measures alignment and returns a scalar.

• Magnetic fluxRelated: The field’s dot product with the surface normal selects the perpendicular component.

• VectorRelated: It measures alignment and supports projections and angle calculations.

• Law of cosinesRelated: Expanding a squared vector difference with the dot product yields the law’s cosine term.

• Vector additionCompared with: It combines vector components into a scalar, not a vector sum.

• Euclidean normRelated: Taking the dot product of a vector with itself and then its square root gives its Euclidean norm.

• CosineRelated: It uses cosine to measure directional alignment between vectors.

• Perpendicular linesRelated: Direction vectors are perpendicular exactly when their dot product is zero.

• Gram matrixRelated: In real coordinate space, the dot product supplies the Gram matrix entries.

• Euclidean planeRelated: It provides an algebraic way to measure angles and perpendicularity.

• Hadamard productCompared with: The Hadamard product stops before the summation that defines a dot product.

• Scalar multiplicationCompared with: Unlike scalar multiplication, the dot product takes two vectors and returns a scalar.

• Dihedral angleRelated: It gives a standard way to calculate the angle between plane normals.

• Cosine similarityRelated: It supplies the numerator that measures directional alignment.

• Electric fluxRelated: The dot product selects the field component aligned with the surface normal.

• Rearrangement inequalityRelated: Each candidate arrangement produces a dot product whose value the inequality bounds.

• Spherical law of cosinesRelated: Representing vertices by unit vectors yields a vector derivation of the law.

• Vector (physics)Related: It extracts the part of one vector aligned with another, as in work.

• Vector geometryRelated: It extracts lengths, angles, and perpendicularity from vector components.

• Commutative propertyRelated: The dot product remains unchanged when its two vector operands are exchanged.

• Farkas' lemmaRelated: A certificate uses a vector's dot products to combine constraints into contradiction.

• Product (mathematics)Broader topic: It combines componentwise products into a measure of vector alignment.

• Euclidean vectorBroader topic: It calculates lengths, angles, and projections from coordinates.

• Vector notationRelated: Component notation turns the dot product into a sum of component products.