हिंदी

What is the sum of vector a→=i^-2i^+k^,b→=-2i^+4j^+5k^ and c→=i^-6j^-7k^ -

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प्रश्न

What is the sum of vector `veca = hati - 2hati + hatk, vecb = - 2hati + 4hatj + 5hatk` and `vecc = hati - 6hatj - 7hatk`

विकल्प

  • `-4hatj + hatk`

  • `-4hatj - hatk`

  • zero

  • `hatk - hati`

MCQ

उत्तर

`-4hatj - hatk`

Explanation:

Sum of vectors = `veca + vecb + vecc`

= `(hati - 2hatj + hatk) + (-2hati + 5hatj + 5hatk) + (hati - 6hatj - 7hatk)`

= `(hati - 2hati + hatj) + (-2hati + 4hatj - 6hatj) + (hatk - 5hatk - 7hatk)`

= `0. hati - 4hatj - hatk`

= `- 4hatj - hatk`

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