39.3.2 For the following graphs of vector fields, determine whether the divergence is positive, negative or zero.Remember: div(v) represents the "outward flux density" of v at a given point.
1.1 Drag the point around and observe the behaviour of the vectors around the box
1.2 Based on your observation
Is the divergence of this vector field positive, negative or zero?
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The divergence is negative. Observe that the inward arrows are bigger than the outward arrows. This means that the net flow is inward and therefore divergence < 0.
2.1 Drag the point around and observe the behaviour of the vectors around the box
2.2 Based on your observation
Is the divergence of this vector field positive, negative or zero?
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The divergence is positive. Observe that the outward arrows are bigger than the inward arrows. This means that the net flow is outward and therefore divergence > 0.
3.1 Drag the point around and observe the behaviour of the vectors around the box
3.2 Based on your observation
Is the divergence of this vector field positive, negative or zero?
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The divergence is zero. 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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