Relative to a fixed origin 0, the point A has position vector \( \hat{i} - 3 \hat{j} + 2 \hat{k} \) and the point B has position vector \( - 2 \hat{i} + 2 \hat{j} - \hat{k} \) The points A and B lie on a straight-line 1. The point C has position vector \( 2 \hat{i} + p \hat{j} - 4 \hat{k} \) with respect to O, where p is a constant. Given that AC is erpendicular to 1. Find the value of p.

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