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Find the vector and cartesian equation of the plane that passes through the point (1, 4, 6) and the normal vector to the plane is `hat(i) - 2hat(j) + hat(k)`.

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Find the vector equation of the plane passing through the intersection of the planes vecr.(hat(i) + hat(j) + hat(k)) = 6 and vecr.(2hat(i) + 3hat(j) + 4hat(k))= - 5 and the point (1, 1, 1).

Answer any three questions (b) Find the vector equation of the plane passing through the points 3 hat(i) + 4 hat(j) + 2 hat(k) , 2 hat(i) - 2hat(j) - hat(k) and 7 hat(i) + 6 hat(k) .

Answer any three questions (b) Find the vector equation of the plane passing through the points 3 hat(i) + 4 hat(j) + 2 hat(k) , 2 hat(i) - 2hat(j) - hat(k) and 7 hat(i) + 6 hat(k) .

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