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Q.

AandB are two vectors. Then correct options are       

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a

If A¯+B¯ magnitude is equal to magnitude of A¯B¯ magnitude angle between AandBis90°

b

If angle between A¯+B¯andA¯B¯is60° their resultant is 3A2+B2

c

If A¯+B¯andA¯B¯ vectors are perpendicularA¯B¯ is a null vector

d

(A¯+B¯).(A¯B¯)=0ifAandB  have equal magnitude

answer is D, A.

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Detailed Solution

|A+B|=|AB|=A2+B2ifθ=90° 

If(A+B)(AB)thenA=B&|AB|=2Asinθ2 need not zero

then(A+B).(AB)=0

If angle betweenA+B&ABis60°,  The resultant of

A+BandABis2A

Only A & D are correct

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