(8 pts) Are the following statements true or false? i. If F is path-independent,

Question

(8 pts) Are the following statements true or false? i. If F is path-independent, then there is a potential function for F 7 2. If JC F. dif 0 for some closed path C, then F is path dependent. 3. If F V f, then F is conservative 7 4. If the vector fields F and G have JC F dr JC G. dr for a particular path C, then F G 5. F. dr f(Q) f(P) whenever Pand C are the endpoints of the curve C. 6. If F is path-independent and C is any closed curve, then Ja F. dr 0. 7 7. If F. dr 0 for one particular closed path, then F is path-independent S. The circulation of any vector field L around any closed curve C is zero.

Explanation / Answer

t t f t f f f t

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.