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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

If , , and then is equal to .

Answer: 10

Solution

|Missing argument for \vec\vec a+Missing argument for \vec\vec b+Missing argument for \vec\vec c|^2 = |Missing argument for \vec\vec a|^2 + |Missing argument for \vec\vec b|^2 + |Missing argument for \vec\vec c|^2 + 2(Missing argument for \vec\vec a·Missing argument for \vec\vec b + Missing argument for \vec\vec b·Missing argument for \vec\vec c + Missing argument for \vec\vec c·Missing argument for \vec\vec a).

The three perpendicularity conditions give , \vec\vec\vec$

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Question ID VK-110303