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Let a¯=i^-j^,b¯=j^-k^,c¯=k^-i^. If d¯ is a unit vector such that a¯⋅d¯=0=[b¯c¯d¯], then d¯ equals ______. - Mathematics and Statistics

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प्रश्न

Let `bara = hati - hatj, barb = hatj - hatk, barc = hatk - hati.` If `bard` is a unit vector such that `bara * bard = 0 = [(barb, barc, bard)]`, then `bard` equals ______.

विकल्प

  • `+- (hati + hatj - 2hatk)/sqrt6`

  • `+- (hati + hatj + hatk)/sqrt3`

  • `+-(hati + hatj - hatk)/sqrt3`

  • `+-  hatk`

MCQ
रिक्त स्थान भरें

उत्तर

Let `bara = hati - hatj, barb = hatj - hatk, barc = hatk - hati.` If `bard` is a unit vector such that `bara * bard = 0 = [(barb, barc, bard)]`, then `bard` equals `underlinebb(+- (hati + hatj - 2hatk)/sqrt6)`.

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अध्याय 5: Vectors - Miscellaneous exercise 5 [पृष्ठ १८९]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
अध्याय 5 Vectors
Miscellaneous exercise 5 | Q I) 19) | पृष्ठ १८९

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