Suppose $\int _ { S } \vec { F } \cdot d \vec { A } = \int _ { S } ( 4 x \vec { i } - 6 y \vec { j } + 2 z \vec { k } ) \cdot d \vec { A }$ for any closed surface S in space with outward-pointing normal.What does this tell you about $\text { div } \vec { F } \text { ? }$

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The Answer of Suppose $\int _ { S } \vec { F } \cdot d \vec { A } = \int _ { S } ( 4 x \vec { i } - 6 y \vec { j } + 2 z \vec { k } ) \cdot d \vec { A }$ for any closed surface S in space with outward-pointing normal.What does this tell you about $\text { div } \vec { F } \text { ? }$

Suppose ∫SF⃗⋅dA⃗=∫S(4xi⃗−6yj⃗+2zk⃗)⋅dA⃗\int _ { S } \vec { F } \cdot d \vec { A } = \int _ { S } ( 4 x \vec { i } - 6 y \vec { j } + 2 z \vec { k } ) \cdot d \vec { A }∫S​F⋅dA=∫S​(4xi−6yj​+2zk)⋅dA

Suppose $\int _ { S } \vec { F } \cdot d \vec { A } = \int _ { S } ( 4 x \vec { i } - 6 y \vec { j } + 2 z \vec { k } ) \cdot d \vec { A }$