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The distance of the point (1, −5, 9) from the plane x − y + z = 5 measured along the line x = y = z is

1. 10/√3
2. 20/3
3. 3√10
4. 10√3

Correct answer: 10√3

Solution

To find the distance from the point to the plane along the line where x = y = z, we can express the line parametrically and substitute into the plane equation. After calculating the intersection point and the distance from the original point to this intersection, we find that the distance is 10√3.

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