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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

If , and , then is equal to

Answer: (A)

Solution

Use each equation separately:

Missing argument for \vec\vec r×Missing argument for \vec\vec a = Missing argument for \vec\vec b×Missing argument for \vec\vec a ⇒ (Missing argument for \vec\vec r - Missing argument for \vec\vec b)×Missing argument for \vec\vec a = Missing argument for \vec\vec 0 ⇒ Missing argument for \vec\vec r = Missing argument for \vec\vec b + sMissing argument for \vec\vec a,

Missing argument for \vec\vec r×Missing argument for \vec\vec b = Missing argument for \vec\vec a×Missing argument for \vec\vec b ⇒ (Missing argument for \vec\vec r - Missing argument for \vec\vec a)×Missing argument for \vec\vec b = Missing argument for \vec\vec 0 ⇒ Missing argument for \vec\vec r =

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Question ID VK-109641