Let →a=2^i+λ1^j+3^k,→b=4^i+(3−λ2)^j+6^k and →c=3^i+6^j+(λ3� – InterviewSolution

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1.	Let →a=2^i+λ1^j+3^k,→b=4^i+(3−λ2)^j+6^k and →c=3^i+6^j+(λ3−1)^k be three vectors such that →b=2→a and →a is perpendicular to →c. Then the possible value of (λ1,λ2,λ3) is :
Answer» Let $\to a = 2^i + λ_{1}^j + 3^k,$ $\to b = 4^i + (3 - λ_{2})^j + 6^k$ and $\to c = 3^i + 6^j + (λ_{3} - 1)^k$ be three vectors such that $\to b = 2 \to a$ and $\to a$ is perpendicular to $\to c$ . Then the possible value of $(λ_{1}, λ_{2}, λ_{3})$ is :

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