Mark against the correct answer in each of the following: If θ is the angle between the planes 2x – y + 2z = 3 and 6x – 2y + 3z = 5, then cos θ = ?

Question

Philoid · Accepted Answer

Given: Equation of two planes are 2x – y + 2z = 3 and 6x – 2y + 3z = 5

To find: cos θ where θ: angle between the planes

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

where θ : angle between the planes,

Explanation:

Here a₁ = 2, b₁ = -1, c₁ = 2

a₂ = 6, b₂ = -2, c₂ = 3

Therefore,