Prove that if and are vectors in n Problems 6.18–6.24 deal with the cross product, which is defined for three dimensions as follows: Definition 6.4. written is the vector Equation...

Prove that if

and

are vectors in

ⁿ

Problems 6.18–6.24 deal with the cross product, which is defined for three dimensions as follows:

Definition 6.4.

written

is the vector

Equation 6.8 is not a normal determinant. Treat vectors i, j, and k as scalars for the computation and then consider them vectors.