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find Area of the triangle with sides 3i - 7j + k, 4j - 3k

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The vector area of the triangle with vertices I + j + k, I + j + 2k, I + 2j + k is

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{:(I."Area of the parallelogram with diagonals" 3i + j - 2k. i - 3j + 4k, a.(sqrt(569))/(4)), (II. "Area of the triangle whose adjacent sides are" 3i + 4j "and" i - 3j + 4k, b. (2)/(sqrt(14))),(III. "Volume of parallelopiped whose edges are" 2i - 3j. i + j - k. 3i - k, c. 5 sqrt(3)),(IV. "Projection of" 2i + 3j - 2k "in the direction of" i + 2j + 3k, d. 4),(, e. 2//3)):}"