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Q.

Given three vectors a→=6i^−3j^,b→=2i^−6j^ and c→=−2i^+21j^  such that α→=a→+b→+c→ resolution of the vector α→components with respect to  a →and b→ is given by

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a

3a→−2b→

b

3b→−2a→

c

2a→−3b→

d

a→−2b→

answer is C.

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Detailed Solution

α→=a→+b→+c→=6i^+12j^ Let  α→=xa→+yb→⇒6x+2y=6 and  −3x−6y=12∴ x=2,y=−3∴ α→=2a→−3b→
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