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Let O P = -1 i + j + k , O Q = i + -1 j + k and O R = i + j + 1 2 k be three vectors, where , R - 0 and O denotes the origin. If ( O P O Q ) O R =0 and the point ( , , 2) lies on the plane 3 x+3 y-z+l=0 , then the value of l is ____

Correct answer

0

Step-by-step solution

( OP OQ ) OR =0 | array ccc -1 & 1 & 1 1 & -1 & 1 1 & 1 & 1 2 array |=0 + +1=0...(1) Also ( , , 2) lies on 3 x +3 y - z +l=0 3 +3 -2+l=0 l=2-3( + ) ...(2) use (1) in (2) l=5

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