Mark against the correct answer in each of the following:
The angle between the planes 2x – y + z = 6 and x + y + 2z = 7, is
Given: Equation of two planes are 2x – y + z = 6 and x + y + 2z = 7
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:
Here a1 = 2, b1 = -1, c1 = 1
a2 = 1, b2 = 1, c2 = 2
Therefore angle between the planes is