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If a→.i^=a→.(i^+j^)=a→.(i^+j^+k^) = 1, then a→ is ______. - Mathematics

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Question

If `veca.hati = veca.(hati + hatj) = veca.(hati + hatj + hatk)` = 1, then `veca` is ______.

Options

  • `hatk`

  • `hati`

  • `hatj`

  • `hati + hatj + hatk`

MCQ
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Solution

If `veca.hati = veca.(hati + hatj) = veca.(hati + hatj + hatk)` = 1, then `veca` is `underlinebb(hati)`.

Explanation:

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

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

1 = 1 + 0

= 1 + 0 + 0

= 1

Hence, a = `hati`.

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2022-2023 (March) Delhi Set 3

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