Question:
The angle between the planes \(2x-y+z=6\) and \(x+y+2z=7\) is:
The angle between the planes \(2x-y+z=6\) and \(x+y+2z=7\) is:
Show Hint
Angle between planes equals angle between their normals.
Updated On: Jan 5, 2026
- \(0^\circ\)
- \(90^\circ\)
- \(60^\circ\)
- \(30^\circ\)
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Normals: \(\vec{n_1}=(2,-1,1)\), \(\vec{n_2}=(1,1,2)\)
\[
\cos\theta=\frac{\vec{n_1}\cdot\vec{n_2}}{|\vec{n_1}||\vec{n_2}|}
=\frac{3}{\sqrt6\sqrt6}=\frac12
\Rightarrow \theta=60^\circ
\]
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