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Find the vector and cartesian equations ...

Find the vector and cartesian equations of the plane that passes through the point `(0, 1, -2)` and normal to the vector `hati + hatj + hatk`.

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Find the vector and cartesian equations of the planes : (a) that passes through the point (1,0,-2) and the normal to the plane is hati + hatj - hatk (b) that passes through the point (1,4,6) and the normal vector of the plane is hati - 2 hatj + hatk .

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