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प्रश्न
If `veca = 3hati + 2hatj + 4hatk, vecb = hati + hatj - 3hatk` and `vecc = 6hati - hatj + 2hatk` are three given vectors, then `(2veca.hati)hati - (vecb.hatj)hatj + (vecc.hatk)hatk` is the same as the vector ______.
पर्याय
`veca`
`vecb + vecc`
`veca - vecb`
`vecc`
MCQ
रिकाम्या जागा भरा
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उत्तर
If `veca = 3hati + 2hatj + 4hatk, vecb = hati + hatj - 3hatk` and `vecc = 6hati - hatj + 2hatk` are three given vectors, then `(2veca.hati)hati - (vecb.hatj)hatj + (vecc.hatk)hatk` is the same as the vector `underlinebb(vecc)`.
Explanation:
`2veca.hati = 2(3hati + 2hatj + 4hatk).hati`
= `(6hati + 4hatj + 8hatk).hati`
= 6
`vecb.hatj = (hati + hatj - 3hatk).hatj`
= 1
`vecc.hatk = (6hati - hatj + 2hatk).hatk`
= 2
`(2veca.hati)hati - (vecb.hatj)hatj + (vecc.hatk)hatk`
= `6hati - hatj + 2hatk`
= `vecc`
shaalaa.com
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