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1. Dealing with vector fields is very common in engineering and science applications. Vector fields are...

1. Dealing with vector fields is very common in engineering and science applications. Vector fields are often used to model a moving fluid throughout space, magnetic or gravitational force, and etc.

a. Provide two examples of vector field for engineering or science applications in two and three dimensions

b. Define a conservative vector field. Verify whether the given examples for vector fields in Part 1(a) are conservative? [15 marks]

c. Interpret the fundamental theorem of line integrals for conservative vector fields. Explain this with an example of a force field (i.e. vector field) and compute the work done by the force field in moving a particle from one point to another point along a curved path in three dimensional space. [20 marks

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milcah answered 2 years ago
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