JEE Main 2024 Mathematics question
Let and . If is a vector such that || ≥ 6, , || = 2√2 and the angle between and is 60°, then |()×| is equal to:
Answer: (D)
Solution
|a|² = 38, so |c − a|² = 8 with a·c = 6|c| gives |c|² − 12|c| + 30 = 0, i.e. |c| = 6 ± √6; |c| ≥ 6 gives |c| = 6 + √6.
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