JEE Main 2024 Mathematics question
Let a unit vector make angles π/2, π/3 and 2π/3 with the vectors , and respectively, if , then is equal to
Answer: (D)
Solution
The three angle conditions give x + z = 0, y + z = 1/√2 (cos π/3 = 1/2) and x + y = −1/√2 (cos 2π/3 = −1/2). Solving:
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