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Show that the lines intersect and hence find the point of intersection : 

vector r = (3i + 2j - 4k) + λ (i + 2j + 2k)

and vector r = (5i - 2j) + μ (3i + 2j + 6k).

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The position vectors of arbitrary points on the given lines are :

3i + 2j - 4k + λ (i + 2j + 2k)

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