5 Find the vector and cartesian equations of the planes
(b) that passes through the point (1,4, 6) and the normal vector to the plane is .
Given the point and the normal vector which is perpendicular to the plane is
The position vector of point A is
So, the vector equation of the plane would be given by,
where is the position vector of any arbitrary point in the plane.
Therefore, the equation we get,
So, this is the required Cartesian equation of the plane.
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