Find (A) the Curl and (B) the Divergence of the Vector

question 84

Essay

Find (a) the curl and (b) the divergence of the vector field $\mathbf { F } ( x , y , z ) = ( x + 3 y - 5 z ) \mathbf { i } + ( z - 3 y ) \mathbf { j } + ( 5 x + 6 y - z ) \mathbf { k }$ .

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Definitions:

Great Schism

Refers to the division in the Western Christian Church from 1378 to 1417, which led to competing papal claims, or to the earlier division between the Eastern Orthodox and Western Roman Catholic churches in 1054.

College of Cardinals

A body of senior ecclesiastical leaders in the Catholic Church, responsible for electing the Pope when the papal see is vacant.

Elected Pope

The process by which a new pope is chosen, typically through a papal conclave where cardinals vote in secrecy until a candidate receives a majority of votes.

Maniera Greca

Italian, “Greek manner.” The Italo-Byzantine painting style of the 13th century.