Get solution: True or False In Exercises 4750, determine whether the statement is true
Chapter 15, Problem 47(choose chapter or problem)
In Exercises 47 - 50, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If \(C_{1}, C_{2}\), and \(C_{3}\) have the same initial and terminal points and \(\int_{C_{1}} \mathbf{F} \cdot d \mathbf{r}_{1}=\int_{C_{2}} \mathbf{F} \cdot d \mathbf{r}_{2}\), then \(\int_{C_{1}} \mathbf{F} \cdot d \mathbf{r}_{1}=\int_{C_{3}} \mathbf{F} \cdot d \mathbf{r}_{3}\).
Text Transcription:
C_1, C_2
C_3
int_C_1 F cdot dr_1 = int_C_2 F cdot dr_2
int_C_1 F cdot dr_1 = int_C_3 F cdot dr_3
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