Let →a=ˆi+5ˆj+αˆk,→b=ˆi+3ˆj+βˆk and →c=−ˆi+2ˆj−3ˆ – InterviewSolution

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1.	Let →a=ˆi+5ˆj+αˆk,→b=ˆi+3ˆj+βˆk and →c=−ˆi+2ˆj−3ˆk be three vectors such that, \|→b×→c\|=5√3 and →a is perpendicular to →b. Then the greatest amongst the values of \|→a\|2 is
Answer» Let $\to a = ˆ i + 5 ˆ j + α ˆ k, \to b = ˆ i + 3 ˆ j + β ˆ k$ and $\to c = - ˆ i + 2 ˆ j - 3 ˆ k$ be three vectors such that, $\| \to b \times \to c \| = 5 \sqrt{3}$ and $\to a$ is perpendicular to $\to b$ . Then the greatest amongst the values of $\| \to a \|^{2}$ is

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