Work integral Find the work done in moving an objectfrom P(1, 0, 0) to Q(0, 1, 0) in the presence of the forceF = ⟨1, 2y, -4z⟩ along the following paths.a. The line segment from P to Qb. The line segment from P to O(0, 0, 0) followed by the linesegment from O to Qc. The arc of the quarter circle from P to Qd. Is the work independent of the path?

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
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Work integral Find the work done in moving an object
from P(1, 0, 0) to Q(0, 1, 0) in the presence of the force
F = ⟨1, 2y, -4z⟩ along the following paths.
a. The line segment from P to Q
b. The line segment from P to O(0, 0, 0) followed by the line
segment from O to Q
c. The arc of the quarter circle from P to Q
d. Is the work independent of the path?

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