002 10.0 points Compute the volume of the parallelopiped with adjacent edges PQ, PR. PS determined by vertices P(1, -1, 1 ). Q(5. -3, -3) , R(5, 0, -1) . 5(4, 0, 3) . 1. volume = 42 2. volume = 40 3. volume = 43 4. volume = 39 5. volume = 41 003 10.0 points Find the cross product of the vectors a = -3i+j-k, b=i-j-2k. 1. axb = -3i - 4j + 2k 2. axb = -2i - 7j + k 3. axb = -21 - 4j + k 4. axb = -3i - 7j + 2k 5. axb = -31 - 5j + k 6. axb -21 - 7j + 2kWhich of the following expressions are well- defined for all vectors a, b, c, and d? I ax(b xc), II a x (b . c), III (a . b) x (c . d). 1. I and II only 2. II and III only 3. none of them 4. I and III only 5. I only 6. all of them 7. II only 8. III only 005 10.0 points Which of the following statements are true for all lines and planes in 3-space? I. two lines parallel to a plane are parallel, II. two lines perpendicular to a third line are parallel, III. two planes parallel to a third plane are parallel. 1. II only 2. I and III only 3. III only 4. I and II only 5. none of them 6. II and III only 7. all of them 8. I only