Which of the following statement(s) is/are TRUE? F.dr = 0 for any closed curve C. II.If F is a vector field then V.F is also a vector field. HII. The gradient of a function of two or more variables is itself a vector field. IV. If U is perpendicular to V; and also V is perpendicular to W, then U is parallel to W
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dr = 0 for any closed curve C. This statement is known as the circulation theorem, which states that the line integral of a conservative vector field around a closed curve is always zero. Therefore, statement I is TRUE. Show more…
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