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The value of is i^.(j^×k^)+j^.(i^×k^)+k^.(i^×j^) is ______. - Mathematics

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Question

The value of is `hati.(hatj xx hatk)+hatj.(hatixxhatk)+hatk.(hatixxhatj)` is ______.

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MCQ
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Solution

The value of is `hati.(hatj xx hatk)+hatj.(hatixxhatk)+hatk.(hatixxhatj)` is 1.

Explanation:

`hati.(hatj xx hatk) + hatj.(hati xx hatk) + hatk.(hati xx hatj)` 

= `hati.hati + hatj(-hatj) + hatk.hatk`

= `1 - hatj.hatj + 1`

= 1 - 1 + 1

= 1

The correct answer is 1.

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Chapter 10: Vector Algebra - Exercise 10.5 [Page 459]

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NCERT Mathematics [English] Class 12
Chapter 10 Vector Algebra
Exercise 10.5 | Q 18 | Page 459

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