Question

A and B are vector fields, prove the following: ∆. (A × B) = B. (∆×A) -A · (∆×B).​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The divergence of F is

∂∂x(ex)+∂∂y(yz)−∂∂z(yz2)=ex+z−2yz.

Therefore, the divergence at (0,2,−1) is e0−1+4=4. If F represents the velocity of a fluid, then more fluid is flowing out than flowing in at point (0,2,−1).