[size=150][b]39.3.2 For the following graphs of vector fields, determine whether the divergence is positive, negative or zero.[/b][br][/size][br][size=150][b]Remember:[/b] div([b]v[/b]) represents the "[url=https://www.dynamicmath.xyz/math2001/chapter-39.html#/3/6/2]outward flux density[/url]" of [b]v[/b] at a given point.[/size]
Is the divergence of this vector field positive, negative or zero?
The divergence is [b]negative[/b]. Observe that the inward arrows are bigger than the outward arrows. This means that the net flow is inward and therefore divergence < 0.
Is the divergence of this vector field positive, negative or zero?
The divergence is [b]positive[/b]. Observe that the outward arrows are bigger than the inward arrows. This means that the net flow is outward and therefore divergence > 0.
Is the divergence of this vector field positive, negative or zero?
The divergence is [b]zero[/b]. Observe that the inward arrows are similar to the outward arrows. This may indicate that the net flow is outward 0 and therefore divergence = 0.
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