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,