मराठी

The scalar projection of the vector 3i^-j^-2k^ on the vector i^+2j^-3k^ is ______. - Mathematics

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प्रश्न

The scalar projection of the vector `3hati - hatj - 2hatk` on the vector `hati + 2hatj - 3hatk` is ______.

पर्याय

  • `7/sqrt(14)`

  • `7/14`

  • `6/13`

  • `7/2`

MCQ
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उत्तर

The scalar projection of the vector `3hati - hatj - 2hatk` on the vector `hati + 2hatj - 3hatk` is `underline(bb(7/sqrt(14))`.

Explanation:

Scalar Projection of `3hati - hatj - 2hatk` on vector `hati + 2hatj - 3hatk`

= `((3hati - hatj - 2hatk).(hati + 2hatj - 3hatk))/(|hati + 2hatj - 3hatk|)`

= `7/sqrt(14)`

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