2. In a trapezoid with vertices A(3,1), B(2, 2), C(1, a), D(b, 3), the angle A...

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2. In a trapezoid with vertices A(−3,−1), B(−2, 2), C(1, a), D(b, –3), the angle A is 90°. Find the numbers a, b and the measure of the angle C. Use vectors to solve the problem. 3. Show that the vectors u = (1, 0, 2), v = (-2, 5, 1), and w = (2, 1, -1) span a paral- lelepiped. Is this parallelepiped rectangular? Justify your answer. Find the volume of the parallelepiped. 2. In a trapezoid with vertices A(−3,−1), B(−2, 2), C(1, a), D(b, –3), the angle A is 90°. Find the numbers a, b and the measure of the angle C. Use vectors to solve the problem. 3. Show that the vectors u = (1, 0, 2), v = (-2, 5, 1), and w = (2, 1, -1) span a paral- lelepiped. Is this parallelepiped rectangular? Justify your answer. Find the volume of the parallelepiped.

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1 Let vector AB be denoted by a 2 3 and vector BC be denoted by b 2 2 The magnitude of vector AB a 2... View the full answer