Mark the correct alternative in the following:
The acute angle between the planes 2x – y + z = 6 and x + y + 2z = 3 is
We know, the angle between two planes,
a1x + b1y + c1z + d1=0 and a2x + b2y + c2z + d2=0 is,
Here, a1=2, b1= - 1, c1=1, d1= - 6 and a2=1, b2=1, c2=2,
d2= - 3.
So, the acute angle between the planes 2x–y + z=6 and
x + y + 2z = 3 is
θ=60 ̊
the acute angle between the planes 2x–y + z=6 and
x + y + 2z = 3 is 60 ̊.