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[" Let "bar(a)" and "bar(b)" be two unit vectors such that "],[|vec a+vec b|=sqrt(3)." If "bar(c)=vec a+2vec b+3(vec a timesvec b)," then "2|vec c|" is "],[" equal to "],[[" (a) "sqrt(55)," (b) "sqrt(51)," (c) "sqrt(43)," (d) "sqrt(37)],[" (JEE Main Online "2015" ) "," (JEE Main Onind "]]

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