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Question
Write the value \[\left( \hat{ i } \times \hat{ j } \right) \cdot \hat{ k } + \hat{ i } \cdot \hat{ j } .\]
Solution
\[\left( \hat{ i } \times \hat{ j } \right) . \hat{ k } + \hat{ i } . \hat{ j } \]
\[ = \hat{ k } .\hat{ k } + 0\]
\[ = \left| \hat{ k } \right|^2 + 0\]
\[ = 1^2 + 0 ( \because \left| k \right| = 1)\]
\[ = 1\]
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