(1 point) Are the following statements true or false? True 1. If fc.dr = 0 for one particular closed path, then F is path-independent. False 2. If F is path-independent and C is any closed curve, then √ F. dr = 0. True False True 3. If fdr 0 for some closed path C, then F is path dependent. 4. If Vf, then is conservative. = 5. SF dr=f(Q) f(P) whenever P and Q are the endpoints of the curve C. True 6. The circulation of any vector field ♬ around any closed curve C is zero. True False 7. If Fis path-independent, then there is a potential function for F 8. If the vector fields F and G have fo F. dr = √c G. dr for a particular path C, then F = G.