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If \(\vec{a} = \vec{i} - 2\vec{j} + \vec{k}\) and \(\vec{b} = 2\vec{i} + 3\vec{j} - \vec{k}\) are pair of vectors then (a) Find \(\vec{a} \times…

2024 · Solved Question with Answer

If \(\vec{a} = \vec{i} - 2\vec{j} + \vec{k}\) and \(\vec{b} = 2\vec{i} + 3\vec{j} - \vec{k}\) are pair of vectors then

(a) Find \(\vec{a} \times \vec{b}\)

(b) Find a unit vector perpendicular to \(\vec{a}\) and \(\vec{b}\)

(c) Show that \(\vec{a} \times \vec{b}\) is perpendicular to the vectors \(\vec{a}\) and \(\vec{b}\)

Solution

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