Question
Question: The equation of the plane bisecting the acute angle between the planes 2x – y + 2z + 3 = 0 and 3x – ...
The equation of the plane bisecting the acute angle between the planes 2x – y + 2z + 3 = 0 and 3x – 2y + 6z + 8 = 0 is
A
23x – 13y + 32z + 45 = 0
B
5x – y – 4z = 3
C
5x – y – 4z + 45 = 0
D
23x – 13y + 32z + 3 = 0
Answer
23x – 13y + 32z + 45 = 0
Explanation
Solution
a1a1 + b1b2 + c1c2 = 6 + 2 + 12 is positive
so that the acute angle bisector is
32x−y+2z+3=−73x−2y+6z+8
⇒ 23x − 13y + 32z + 45 = 0