If 3 vectors \overline{a}, \overline{b}, \overline{c} are such that \overline{a} \neq \overline{0} and \overline{a} \times \overline{b}=2(\overline{a} \times \overline{c}),|\overline{a}|=1,|\overline{c}|=1,|\overline{b}|=4 and angle between \overline{b} and \overline{c} is \cos ^{-1}(1 / 4) and \overline{b}-2 \overline{c}=\lambda \overline{a}, then \lambda=

AP EAPCET 07-Jul-2022 Shift 1 Paper

Section: Mathematics

Question : 33 of 160

Marks: +1, -0

If 3 vectors a,b,c are such that a≠0 and a×b=2(a×c),|a|=1,|c|=1,|b|=4 and angle between b and c is cos−1(

) and b−2c=λa, then λ=

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