Question: 1. State whether the following statement is true or false and justify your answer: The vector field F(x, y) = (-y, z) on R

1. State whether the following statement is true or false and justify

1. State whether the following statement is true or false and justify your answer: The vector field F(x, y) = (-y, z) on R is a gradient field. [2 marks for correct alternative (T/F); 3 marks for correct justification]

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