JEE Main 2022 Mathematics question
Let : be a plane. Let be another plane which passes through the points (2, −3, 2), (2, −2, −3) and (1, −4, 2). If the direction ratios of the line of intersection of and be 16, , , then the value of is equal to .
Answer: 28
Solution
The normal of is , 1, −3). Two vectors in are (0, 1, −5) and (−1, −1, 0), so the normal of is , 1, −5) (−1, −1, 0) = (−5, 5,
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