If the angle between the planes 2x−y+z=4 and x+λy+2z=11 is π3, then the values of λ are
-1, 17
1, 17
1, -17
-1, -17
¯¯¯¯¯n1=2i−k+k,¯¯¯¯¯n2=i+λj+2k
cosπ3 =¯¯¯¯¯n1.¯¯¯¯¯n2|n1||n2| ⇒λ2+16λ−17=0 ⇒λ=−17,1
lf the angle θ between the line x+11=y−12=z−22 and the plane 2x−y+√λz+4= 0 is such that sinθ=13, then value of λ is