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Question
Define vector product of two vectors.
Solution
\[\text{ If } \vec{a} \text{ and } \vec{b} \text{ are two non-zero non-parallel vectors, then the vector product denoted by } \vec{a} \times \vec{b} \text{ is defined as } \vec{a} \times \vec{b} = \left| \vec{a} \right| \left| \vec{b} \right| \sin \theta \hat{ η } . \]
\[ \text{ Here } ,\theta \text{ is the angle between } \vec{a} \text{ and } \vec{b} \text{ and } \hat{ η } \text{ is the unit vector perpendicular to the plane of } \vec{a} \text{ and } \vec{b} \text{ such that } \vec{a} , \vec{b} \text{ and } \hat{ η } \text{ form a right handed system. } \]
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