[3] [2] 12. The lines L: F = (1,1,3) + s(2, -1, 1), se R and...

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[3] [2] 12. The lines L₁: F = (1,1,3) + s(2, -1, 1), se R and L₂: F= (0,0,2) + (3,1,2), te R are skew lines. a. Find the equation of the plane which contains L₁ and is parallel to L₂. b. Find the shortest distance between L₁ and L₂. [3] [2] 12. The lines L₁: F = (1,1,3) + s(2, -1, 1), se R and L₂: F= (0,0,2) + (3,1,2), te R are skew lines. a. Find the equation of the plane which contains L₁ and is parallel to L₂. b. Find the shortest distance between L₁ and L₂.