Cross product in R x \mathbb R^x

Geometry Level 3

It is well known that the Cross product is valid in R 3 \large {\mathbb R^3 } Three-dimensional space

If the cross product is valid in R x \large {\mathbb R^x} , what is/are the value(s) of x x ?

5 can be any positive integer 3 \ge 3 9 7 11

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