Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §11.3 Cross Products and Determinants, #48 · Multivariable Calculus · Vectors & geometry

Take the dot product of equation (*) with … to prove …

Take the dot product of equation (*) with $D$ to prove
$(A \times B) \cdot (C \times D) = (A \cdot C) (B \cdot D) - (B \cdot C) (A \cdot D) .$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §11.3 Cross Products and Determinants, #48

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