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→