1. Dealing with vector fields is very common in engineering andscience applications. Vector fields are often used to model amoving fluid throughout space, magnetic or gravitational force, andetc.
a. Provide two examples of vector field for engineering orscience applications in two and three dimensions
b. Define a conservative vector field. Verify whether the givenexamples for vector fields in Part 1(a) are conservative? [15marks]
c. Interpret the fundamental theorem of line integrals forconservative vector fields. Explain this with an example of a forcefield (i.e. vector field) and compute the work done by the forcefield in moving a particle from one point to another point along acurved path in three dimensional space. [20 marks
