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Please answer all questions and show work: 11) Find the volume of the parallelepiped formed by a = (-3, 0, 4) , b = (1,

Please answer all questions and show work:

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11) Find the volume of the parallelepiped formed by a = (-3, 0, 4) , b = (1, 2, 0) , and c' = (0, 4, 8) . Enter only a number. Do NOT enter an equation. If the number is not an integer, enter it as a fraction in simplest form. 12) Determine whether or not the curve described by the given O smooth vector function is smooth O not smooth r'(t) = et i - 5t2/3 j + +? k, t >0 13) Find the vector projection of b along a O projab = (0, 0, V230 for the vectors a = (0, 0, 1) and O proj b = 63 9 81 6 = (-7, 10, 9) . 230 ' 23 ' 230 O proj- b = (0, 0, 230 O proj - b = (0, 0, 9) O None of the above 14) Find the vector v, given the vectors O u and v below. O O

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