Euclidean Geometry #5

Geometry Level pending

In R 3 \mathbb{R}^3 consider the line r whose equations are:

r \equiv {x - 2y - 2z = 1, x + 5y - z = 0}

and the plane π \pi whose equation is π 2 x + y + m z = n \pi \equiv 2x + y +mz = n . Find m, n and submit your answer as m + n, knowing that r is contained in π \pi


The answer is -2.

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