Find the vector eqn which passes through (1,1,2) and is parallel to the vector which is perpendicular to both 2i+2j-k and -3i+2j+k

Answer 1

take the cross-product to (2,2,-1) and(-3,2,1)
which is (4,1,10)

So your line must have that directions

so the vector equation is

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r = (1,1,2) + k(4,1,10)