Given: Equation of two planes are and

To find: Angle between the two planes

Formula Used: Angle between two planes a₁x + b₁y + c₁z = 0 and a₂x + b₂y + c₂z = 0 is

where θ : angle between the planes,

Explanation:

Since , the given equation of planes can rewritten as:

3x – 6y + 2z = 4 and 2x – y + 2z = 3

Here a₁ = 3, b₁ = -6, c₁ = 2

a₂ = 2, b₂ = -1, c₂ = 2

Therefore angle between the planes is