Solution:
(a) It is given that,
The points are .
Let,
Since, the value of determinant is 0 .
As a result, the points are collinear as there will be infinite planes passing through the given 3 points.
(b)
The given points are .
Let,
As, there passes a unique plane from the given 3 points.
Eq. of the plane passing through the points,
and
,
, i.e.,
Substitute the values and simplify
As a result, the required equation of the plane is .