A vector n is inclined to X -axis at 45^ , Y -axis at 60^ and at an acute angle to Z -axis. If n is normal to a plane passing through the point (- 2 , 1,1) , then equation of the plane is

Step-by-step solution

Let n be inclined at angles , , to X , Y , Z axes respectively. array ll & =45^ , =60^ , =? & ^2 + ^2 + ^2 =1 & 1 2 + 1 4 + ^2 =1 & ^2 = 1 4 & =60^ & n = i + j + k & n = 1 2 i + 1 2 j + 1 2 k array Equation of the required plane is 1 2 (x+ 2 )+ 1 2 (y-1)+ 1 2 (z-1)=0 i.e., 2 x+y+z=0