Consider the following force field: F(x, y,z) = x + yj + zk (a) [2 points]...

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Consider the following force field: F(x, y,z) = xî + yj + zk (a) [2 points] Is the given force field conservative or not? Justify your answer. (b) [3 points] Find the work done in moving the particle through the path C, which is directed from the origin (0,0) to the point (2,2). (c) [1 point] If the particle is moved through another path: from (0,0) to (2,0) then to (2,2), can you predict the total work done without making any calculations?. (d) [2 point] Find the potential energy associated with this field. Consider the following force field: F(x, y,z) = xî + yj + zk (a) [2 points] Is the given force field conservative or not? Justify your answer. (b) [3 points] Find the work done in moving the particle through the path C, which is directed from the origin (0,0) to the point (2,2). (c) [1 point] If the particle is moved through another path: from (0,0) to (2,0) then to (2,2), can you predict the total work done without making any calculations?. (d) [2 point] Find the potential energy associated with this field.