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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 show that \(c^2 = ab.\)

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Since \(\vec{P},\vec{Q}\) and \(\vec{R}\) are coplanar vectors, therefore,

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