(-1, 1, 1) to the plane has the coordinate (3, -2, -1), is:
A. x + y + z = 0
B. 4x - 3y – 2z = 20
C. 3x + y – z = 8
D. 4x + 3y – z = 7
Ans: B
Sol: Clearly, the direction ratio of the plane are 4, –3, –2
Thus equation of plane will be 4x – 3y – 2z = d
It will necessarily pass through (3, –2, –1)
i.e,, d = 12 + 6 + 2 = 20
Thus the equation of plane is 4x – 3y – 2z = 20.
