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1. Any three (non-degenerate) vectors a, b, and c that spawn from the same point can form a 3D parallelpiped, whose volume is given by
1. Any three (non-degenerate) vectors a, b, and c that spawn from the same point can form a 3D parallelpiped, whose volume is given by la . (b x c)|. Find the volume of the parallelpiped with one vertex at (1, 0, 0), and whose neighboring vertices are at (2, 1, 0), (2, 1, 1), and (2, 3, 1). A. -1 B. 1 C. 2 D. 3 E. 62. Let r(t) be a curve of constant speed defined on the interval [-7, 7]. If the unit tangent vector of r(t) at any point is given by T(t) = (sint, cost) and the curve length of r(t) is 47, then the value of r'(7 /4) is A. (V2, -V2) B. (-V2/2, V2/2) C. (V2, 0) D. (V2/2, V2/2) E. (V2, V2)
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