Given A→=4i^+6j^ and B→=2i^+3j^. Which of the following is correct?
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a
A→×B→=0→
b
A→⋅B→=24
c
|A→||B→|=12
d
A→ and B→ are antiparallel
answer is A.
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Detailed Solution
A→×B→=(4i^+6j^)×(2i^+3j^)=12(i^×j^)+12(j^×i^) =12(i^×j^)−12(i^×j^)=0 Again, A→⋅B→=(4i^+6j^)⋅(2i^+3j^)=8+18=26 Again, |A→||B→|=16+364+9≠12 Also, B→=12A→⇒A→ and B→ are parallel and not antiparallel.