Mathematics Three Dimensional Geometry

If the direction cosines < l, m, n > of a line are connected by relation l + 2m + n = 0, 2l - 2m + 3n = 0, then what is the value of l2 + m2 - n2 ?

1
\(\frac{1}{101}\)
2
\(\frac{29}{101}\)
3
\(\frac{41}{101}\)
4
\(\frac{92}{101}\)

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