Science:Math Exam Resources/Courses/MATH105/April 2017/Question 01 (a)/Solution 1

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If is some point on the plane, then it forms a vector with the given point on the plane . Since a normal vector on a plane is orthogonal to any vector lying on the plane, this vector is therefore perpendicular to the normal vector of the plane.

This implies that .

Thus the equation of the plane is .