Test the vector field F to determine if it is conservative.
-$$\mathbf { F } = - \cos x \cos y \mathbf { i } + \sin x \sin y \mathbf { j } - \sec ^ { 2 } z \mathbf { k }$$
A) Not conservative
B) Conservative

Name: Test the vector field F to determine if it is conservative. -\[\mathbf { F } = - \cos x \cos y \mathbf { i } + \sin x \sin y \mathbf { j } - \sec ^ { 2 } z \mathbf { k }\] A) Not conservative B) Conservative
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Quizplus · Accepted Answer

The vector field is conservative because it is the gradient of a potential function.

Test the Vector Field F to Determine If It Is F=−cos⁡xcos⁡yi+sin⁡xsin⁡yj−sec⁡2zk\mathbf { F } = - \cos x \cos y \mathbf { i } + \sin x \sin y \mathbf { j } - \sec ^ { 2 } z \mathbf { k }F=−cosxcosyi+sinxsinyj−sec2zk

Test the Vector Field F to Determine If It Is $\mathbf { F } = - \cos x \cos y \mathbf { i } + \sin x \sin y \mathbf { j } - \sec ^ { 2 } z \mathbf { k }$