Test the Vector Field F to Determine If It Is

Multiple Choice

Test the vector field F to determine if it is conservative.
- $$\mathbf { F } = \left( \frac { 8 \mathrm { x } ^ { 7 } \mathrm { y } ^ { 8 } } { \mathrm { z } ^ { 7 } } \right) \mathrm { i } + \left( \frac { 8 \mathrm { x } ^ { 8 } \mathrm { y } ^ { 7 } } { \mathrm { z } ^ { 7 } } \right) \mathrm { j } - \left( \frac { 7 \mathrm { x } ^ { 8 } \mathrm { y } ^ { 8 } } { \mathrm { z } ^ { 8 } } \right) \mathbf { k }$$

A) Not conservative
B) Conservative