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Find the vector and cartesian equation o...

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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Write the vector equation of the line passing through the point (1, 2, 3) and perpendicular to the plane r.(hat(i) + 2hat(j) - 5hat(k)) + 9 = 0 .

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