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in Three-dimensional geometry by (15 points)
Let ℓ be the equation of the line which intersect each of the two lines x + 2y – 2 = 0 = 2x – 2y + z and 3x – 2y + z –1 = 0 = x + 4y + z – 3 and is parallel to the line x + 2y – 3z = 0 = 2x + y + z + 3. If line ℓ meets the plane x + y + z = 0 at the point (α,β,γ), then

|α+β| is equal to

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