Are the following statements true or false? If F rightarrow is path-independent,

Question

Are the following statements true or false? If F rightarrow is path-independent, then there is a potential function for F rightarrow. If for some closed path C, then F rightarrow is path dependent. If , then F rightarrow is conservative. If the vector fields F rightarrow and G rightarrow have for a particular path C then F rightarrow = G rightarrow. whenever P and Q are the endpoints of the curve C. If p is path-independent and C is any closed curve, then . If for one particular closed path, then F rightarrow is path-independent. The circulation of any vector field E rightarrow around and closed curve C is zero.

Explanation / Answer

true false false true false true true false

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