Q21 of 181 Page 1251

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

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