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If vectors $\vec{P} = a \hat{i} + a \hat{j} + 3 \hat{k}$ and $\vec{Q} = a \hat{i} - 2 \hat{j} - \hat{k}$ are perpendicular to each other, then the positive value of $a$ is

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Correct option is A

P→.Q→=(ai^+aj^+3k^).(ai^−2j^−k^)=0 Or a2−2a−3=0 ∴a=2±4+122=3

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If vectors P→=ai^+aj^+3k^ and Q→=ai^−2j^−k^ are perpendicular to each other, then the positive value of a is

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If vectors $\vec{P} = a \hat{i} + a \hat{j} + 3 \hat{k}$ and $\vec{Q} = a \hat{i} - 2 \hat{j} - \hat{k}$ are perpendicular to each other, then the positive value of $a$ is