Practice Basics of Vector Calculus - GATE & ESE

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Basics of Vector Calculus

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Question 1 of 5

Which of the following statements are false?

$(1) \nabla(\nabla \cdot \overrightarrow{\mathrm{A}})=\nabla \times(\nabla \times \overrightarrow{\mathrm{A}})+\nabla^{2} \overrightarrow{\mathrm{A}} \\ (2) \nabla \times(\nabla \mathrm{A})=0 \\ (3) \nabla \times(\nabla \times \overrightarrow{\mathrm{A}})=0$

Where A is scalar and $\overrightarrow{\mathrm{A}}$ is a vector

3 only

1 and 2 both

1 only

2 only

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Basics of Vector Calculus

Quick practice

Question 1 of 5

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