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If veca is a non-zero vector, then (veca.hati).hati + (veca.hatj).hatj + (veca.hatk).hatk ______. - Mathematics

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Question

If `veca` is a non-zero vector, then `(veca.hati).hati + (veca.hatj).hatj + (veca.hatk).hatk` ______.

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Solution

If `veca` is a non-zero vector, then `(veca.hati).hati + (veca.hatj).hatj + (veca.hatk).hatk` `underlinebb(veca)`.

Explanation:

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

= `a_1hati + a_2hatj + a_3hatk`   ...`[veca.hati = a_1,veca.hatj = a_2, veca.hatk = a_3]`

= `veca`

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