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skew lines are noncoplanar lines, which means they aren't parallel and they also don't intersect   skew lines do not intersect and are not coplanar.
Properties. Sums and scalar products of skew-symmetric matrices are again skew-symmetric. Hence, the skew-symmetric matrices form a vector space. If matrices A and B are both skew-symmetric, then their product AB is a symmetric matrix. On the other hand, the triple product B AB is skew-symmetric.f A is skew-symmetric and x is vector then x Ax = 0. All main diagonal entries of a skew-symmetric matrix have to be zero, and so the trace is zero.