Problem 6. Using only properties (G1)-(G3), find the cross products of the vectors i, j, and...

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Problem 6. Using only properties (G1)-(G3), find the cross products of the vectors i, j, and with each other (in all possible orders, for a total of nine cross products). (G1) The length of x is equal to the area of the parallelogram spanned by and w. (G2) Both and w are perpendicular to x . (G3) The triple (,, x) is right-handed. Problem 6. Using only properties (G1)-(G3), find the cross products of the vectors i, j, and with each other (in all possible orders, for a total of nine cross products). (G1) The length of x is equal to the area of the parallelogram spanned by and w. (G2) Both and w are perpendicular to x . (G3) The triple (,, x) is right-handed.