Given, Points A(1,2,−1),B(2,5,−2), and C(4,4,−3) are three vertices of the rectangle. We need to find the area of the rectangle formed by the vectors AB and BC . Length of vector AB : Length of AB=√(2−1)2+(5−2)2+(−2−(−1))2 =√12+32+12=√11 Length of vector BC: Length of BC=√(4−2)2+(4−5)2+(−3−(−2))2 =√22+(−1)2+(−1)2=√6 Area of the rectangle is the product of the lengths of vectors AB and BC : Area =√11×√6=√66 ∴ The area of the rectangle is √66 square units.