The Cross Product

The cross product is an operation between two 3-dimensional vectors that returns a third vector orthogonal (i.e., perpendicular) to the first two. For vectors $u=\langle u_{1},u_{2},u_{3}\rangle$ and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle v = \langle v_1, v_2, v_3 \rangle } , the cross product of $u$ and $v$ (notated as $u\times v$) is $w=\langle u_{2}v_{3}-u_{3}v_{2},-(u_{1}v_{3}-u_{3}v_{1}),u_{1}v_{2}-u_{2}v_{1}\rangle$

Resources

• The Cross Product, OpenStax