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\(\vec{a} = \vec{i} + 4\vec{j} + 2\vec{k},\; \vec{b} = 3\vec{i} - 2\vec{j} + 7\vec{k},\; \vec{c} = 3\vec{i} - \vec{j} + 4\vec{k}\). find a vector \(\vec{p}\)which is perpendicular both \(\vec{a}\)and \(\vec{b}\)and \(\vec{p}\)\(\vec{c}\)= 18

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A vector which is perpendicular to both

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