Question
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 ____
JEE Advanced
Mathematics
Vector Algebra
2024
JEE Advanced 2024 (Paper 1)
JEE Advanced Mathematics Question (2024) — Solution
Options
- A. A
- B. B
- C. C
- D. D
Answer
A. A
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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