Answer:
Let the required equation of the plane through the intersection
of planes 3x - y + 2z - 4 = 0 and x + y + z ? 2 =0 is (3x ? y + 2z ? 4) + K
(x + y + z ? 2) = 0
(K + 3) x (K ?
1) y + (K + 2) z ? 2K ? 4 = 0 .. (1)
Since it passed
through point (2, 2, 1)
(K + 3) (2) + (K
? 1) (2) + (K + 2) (1) ? 2K ? 4 = 0
Put in (1), we get
= 0
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