Given the lines 1₁ and 12; l₁ x = 1 + 3t, y = 26t, z = 7t - 3, 1₂: x=4=6-y=5—2 -8 3 5 (a) Show that 1₁ and 12 are skewed by showing that they do not intersect and not parallel. (b) Find the equation of the plane containing the line 1₁ and parallel to the plane containing the line 12. Hence obtain the shortest distance between the lines 1₁ and 12. (c) Find the acute angle between the line 1₁ and the plane 3x + 5y + 4z = 6.

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