Find the vector equation of the plane passing through the intersection of the planes and
= – 5 and the point (1, 1, 1).
The equation of the plane passing through the intersection of
[
…… (1)
[].
…… (2)
The required plane also passes through the point (1,1,1)
Substituting x = 1, y = 1, z = 1 in eq. (2),we have,
= (6 – 5k)
1 + 2k + 1 + 3k + 1 + 4k = 6 – 5k
3 + 9k = 6 – 5k
14k = 3
k =
Substituting the value k = in equation (1),We have,