Section 14.5 Quick Quiz Answer the following multiple choice questions by circling the correct response. 1. The divergence of F=(y,2xz, xy) is (a) (0,0,0). 2. The curl of F=(y,2xz, xy) is (a) (0,0,0). (b) 3. (c) 0. (b)<-x,-y, 2z-1>. (c) <x,-y, 2>. 3. If a vector field F has zero rotation at all points, then (a) VxF=0. (b) V.F-0. 4. Assuming is sufficiently differentiable, the value of VxV (a) depends on p. (b) is 0 always. 5. Assuming F is sufficiently differentiable, the value of V-(VXF) (c) VF=0. (c) is nonzero unless p=0. (a) depends on F. (b) is zero always. 6. Assuming is sufficiently differentiable, the value of V-(Vo) (a) depends on p. (b) is zero. (c) is nonzero unless F= 0. (c) is nonzero unless p=0. 7. For the inverse square field F=- H " , where r (x,y,z),which of the following is true: (A) VxF=0 = and/or (B) V-F=0? (a) A and B. (b) A, but not B 8. The curl of the rotation field F = (1,2,-1)x(x,y,z) points in the direction (a) (-1,-2,1). (b) (-1,2,1). (c) B, but not A (c) (1,2,-1). 9. The curl of the rotation field F=(1,2,-1)x(x,y,z) has a maximum magnitude in the direction(s) (a) ±(1,2,-1). (b) (-1,2,1). (c) ±(1,-2,-1). 10. The divergence of the field F=(x,y,z) on the surface of a sphere of radius a is (a)3a. (b) 3. (c) 4xa².