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Q.

If a¯ and  b¯ are vectors, satisfying |a¯|=|b¯|=5 and (a¯,b¯)=45, then the area of the triangle constructed with the vectors a¯2b¯ and  3a¯+2b¯ is

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a

502  sq.unit

b

55  sq.unit

c

45  sq.unit

d

35  sq.unit

answer is A.

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Detailed Solution

Δ=12|(a¯2b¯)×(3a¯+2b¯)|=4|a¯×b¯|

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