Chandler Bates
11/13/2023 · Senior High School
3. Find a vector perpendicular to the plane of using the points \( P=(1,2,-4) \), \( Q=(2,5,-7) \) and \( R=(3,-5,-1) \). Also find area of the parallelogram and area of triangle. Furthermore find a unit vector perpendicular to the plane using these points.
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A vector perpendicular to the plane is (-12, -9, -13). The area of the parallelogram is √394, the area of the triangle is √394/2, and a unit vector perpendicular to the plane is (-12, -9, -13)/√394.
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