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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

Let and be two noncollinear unit vectors. If and then is

Answer: (A),(C)

Solution

Let be the angle between the unit vectors , so and (with since they are noncollinear).

|Missing argument for \vec\vec u|^2=|Missing argument for \vec\vec a|^2-2(Missing argument for \vec\vec a·Missing argument for \vec\vec +(Missing argument for \vec\vec a·Missing argument for \vec\vec |Missing argument for \vec\vec

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Question ID VK-109683