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Find a unit vector perpendicular to the plane of triangle ABC, where the coordinates of its vertices are A(3, –1, 2), B(1, –1, –3) and C(4, –3, 1).

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Since, \(\vec{AB}\times \vec{AC}\) is perpendicular to both \(\vec{AB}\) and \(\vec{AC}.\)

\(\Rightarrow\) \(\vec{AB}\times \vec{AC}\) is perpendicular to the plane of triangle ABC.

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