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Let a, b and c be distinct positive numbers. If the vectors \(a\hat{i}+a\hat{j}+c\hat{k},\hat{i}+\hat{k}\) and \(c\hat{i…

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Let a, b and c be distinct positive numbers. If the vectors \(a\hat{i}+a\hat{j}+c\hat{k},\hat{i}+\hat{k}\) and \(c\hat{i}+c\hat{j}+b\hat{k}\) are coplanar, then c is equal to:

[JEE Main 2021, 25 Jul (Shift 2)]

a

\(\frac{2}{\frac{1}{a}+\frac{1}{b}}\)

b

\(\frac{a+b}{2}\)

c

\(\frac{1}{a}+\frac{1}{b}\)

d

\(\sqrt{ab}\)

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