Calculus 3 | 6.1: Computing the Cross Product with a 3×3 Determinant

Full course — free exercises, Feynman reviews, and AI-graded feedback: https://ludium.ai/courses/calculus-3 Unlike the dot product, the cross product of two vectors returns another vector. This lesson builds it from the ground up — first determinants, then the determinant shortcut that makes the formula easy to remember. Key concepts covered: The cross product returns a vector, not a scalar 2×2 and 3×3 determinants The i, j, k determinant formula for A × B Why the j component carries a minus sign ━━━━━━━━━━━━━━━━━━━━━━━━ SOURCE MATERIALS The source materials for this video are from    • Calculus 3 Lecture 11.4:  The Cross Product