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If a line makes an angle of π/4 with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of the z-axis is

1. π/6
2. π/3
3. π/4
4. π/2

Correct answer: π/2

Solution

The line makes equal angles with the x-axis and y-axis, indicating it lies in the xy-plane. Since it does not extend in the z-direction, the angle with the positive z-axis is π/2, meaning it is perpendicular to the z-axis.

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