1. \boldsymbol{(A\cdot B)\cdot C} is undefined as \boldsymbol{A\cdot B} is a scalar and we cannot take the inner product of a scalar with the vector \boldsymbol{C}.
2. \boldsymbol{(A\cdot B)C} is a vector and is a multiple of \boldsymbol{C} as \boldsymbol{A \cdot B} is a scalar.
3. \boldsymbol{(A\cdot B)\times C} is undefined as \boldsymbol{A\cdot B} is a scalar and the cross product is only defined between vectors.
4. \boldsymbol{(A\times B)\times C} is a vector as \boldsymbol{A \times B} and \boldsymbol{C} are vectors and the cross product between vectors produces a vector.
5. \boldsymbol{(A\times B)\cdot C} is a scalar as \boldsymbol{A \times B} and \boldsymbol{C} are vectors and the inner or dot product is between vectors and produces a scalar.