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The vector $\vec{P} = a \hat{i} + a \hat{j} + 3 \hat{k} and \vec{Q} = a \hat{i} - 2 \hat{j} - \hat{k}$ are perpendicular to each other. The positive value of a is

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detailed solution

Correct option is A

P→ . Q→ = 0 ∴ a2−2a−3=0 ⇒ a = 3

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The vector P→ = ai^+aj^+3k^ and Q→ = ai^−2j^−k^ are perpendicular to each other. The positive value of a is

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The vector $\vec{P} = a \hat{i} + a \hat{j} + 3 \hat{k} and \vec{Q} = a \hat{i} - 2 \hat{j} - \hat{k}$ are perpendicular to each other. The positive value of a is