Q1 of 230 Page 29

Find the vector equation of the plane passing through the points (1, 1, 1), (1, – 1, 1) and (– 7, – 3, – 5).


We know that the vector equation of the plane passing through three points having position vectors and is


( …… (i)


According to the question,


,





From (i), the vector equation of the required plane is



or,


or,


or,


or,


or,


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