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Q.

Statement I : If θ be the angle between Aand  B,  then  tanθ=A×BA.B

Statement II : A×B is perpendicular to A.B

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a

If both statement I and statement II are true and statement II is the correct explanation of statement I.
 

b

If both statement I and statement II are true but statement II is not the correct explanation of statement I.
 

c

If statement I is true but statement II is false.
 

d

If both statement I and statement II are false.
 

answer is D.

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Detailed Solution

A×BA.B = ABsinθn^ABcosθ=tanθn^

where n^ is unit vector perpendicular to both Aand  B.

However |A×B|A.B  =tanθ

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