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Given a vector field y² aₓ + z y a_y + x² a_z, the line integral ∫ F · dl evaluated along a segment on the x-axis is from x = 1 to x = 2 is

1. -2.33
2. 0
3. 2.33
4. 7

Correct answer: 0

Solution

The line integral of a vector field along the x-axis evaluates to zero because the vector field has no component in the direction of the x-axis when y and z are both zero, resulting in no work done along that path.

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