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Question
Write the value of (^k×^j)⋅^i+^j⋅^k.
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Solution
Since (^k×^j)=^−i
Now consider (^k×^j)⋅^i+^j⋅^k as shown below:
(^k×^j)⋅^i+^j⋅^k=^−i⋅^i+^j⋅^k=−1+0=−1
Hence, (^k×^j)⋅^i+^j⋅^k=−1.
Now consider (^k×^j)⋅^i+^j⋅^k as shown below:
(^k×^j)⋅^i+^j⋅^k=^−i⋅^i+^j⋅^k=−1+0=−1
Hence, (^k×^j)⋅^i+^j⋅^k=−1.
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