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If \( \vec{a} = 2\hat{i} + \hat{j} + 3\hat{k} \) and \( \vec{b} = p\hat{i} + 2\hat{j} + 2\hat{k} \) are perpendicular to each other, find the value of \(p\).

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Perpendicular vectors always satisfy: \[ \vec{a} \cdot \vec{b} = 0 \]

Updated On: May 19, 2026

\(4\)
\(-4\)
\(2\)
\(-2\)

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The Correct Option is B

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