The cross product of two vectors is not commutative because:

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sinθ=−sin(−θ)

cosθ=−cos(−θ)

tanθ=−tan(−θ)

secθ=−sec(−θ)

answer is A.

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Detailed Solution

|A→×B→|=ABsinθ A→×B→=n^ABsinθB→×A→=n^ABsin(−θ)B→×A→=−n^ABsinθ=−A→×B→sinθ=−sin(−θ)Direction of cross product is given by right hand thumb rule