The value of \(\hat i\).(\(\hat j\)×\(\hat k\))+\(\hat j\).(\(\hat i\times\hat k\))+\(\hat k\).(\(\hat i\times \hat j\)) is
The value of \(\hat i\).(\(\hat j\)×\(\hat k\))+\(\hat j\).(\(\hat i\times\hat k\))+\(\hat k\).(\(\hat i\times \hat j\)) is
- 0
- -1
- 1
- 3
The Correct Option is C
Solution and Explanation
\(\hat i\).(\(\hat j\)×\(\hat k\))+\(\hat j\).(\(\hat i\)×\(\hat k\))+\(\hat k\).(\(\hat i\)×\(\hat j\))
=\(\hat i.\hat i\).i^+\(\hat j.(-\hat j)\)+\(\hat k.\hat k\)
=1-\(\hat j.\hat j\)+1
=1-1+1
=1
The correct answer is C.
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