return the cross product of two vectors
u &x v
three-dimensional Vectors with algebraic entries
The CrossProduct command computes the cross product of u and v.
The infix operator &x can also be used to compute the cross product.
The cross product of u and v is given by the formula u2⁢v3−u3⁢v2,−u1⁢v3+u3⁢v1,u1⁢v2−u2⁢v1.
If u and v are both row Vectors, a row Vector is returned. Otherwise, a column Vector is returned.
u ≔ a,b,c
u ≔ abc
v ≔ d,e,f
v ≔ def
The cross product is anticommutative.
v &x u
The cross product is not associative.
w ≔ g,h,i
w ≔ ghi
simplify⁡u &x v &x w
The Student[MultivariateCalculus][CrossProduct] command was introduced in Maple 2016.
For more information on Maple 2016 changes, see Updates in Maple 2016.
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