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

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Question

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

Options

  • 0

  • –1

  • 1

  • 3

MCQ
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Solution

The value of `hati . (hatj xx hatk) + hatj . (hatk xx hati) + hatk . (hati xx hatj)` is 3.

Explanation:

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

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

= 1 + 1 + 1

= 3

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2021-2022 (March) Set 1
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