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If the projections of a line segment on the x, y and z-axes in 3-dimensional space are 2, 3 and 6 respectively, then the length of the line segment is:

1. 12
2. 7
3. 9
4. 6

Correct answer: 7

Solution

The length of the line segment can be calculated using the Pythagorean theorem in three dimensions, which states that the length is the square root of the sum of the squares of the projections on each axis. Therefore, the length is √(2² + 3² + 6²) = √(4 + 9 + 36) = √49 = 7.

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