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Hassan Hora
Asked: 2022-11-06T18:28:01+05:30 In:

Let `veca=hatj-hatk` and `vecc=hati-hatj-hatk`. Then the vector `vecb` satisfying `vecaxxvecb+vecc=vec0` and `veca.vecb=3` is
A. `-hati+hatj-2hatk`
B. `2hati-hatj+2hatk`
C. `hati-hatj-2hatk`
D. `hati+hatj-2hati`

Let `veca=hatj-hatk` and `vecc=hati-hatj-hatk`. Then the vector `vecb` satisfying `vecaxxvecb+vecc=vec0` and `veca.vecb=3` is
A. `-hati+hatj-2hatk`
B. `2hati-hatj+2hatk`
C. `hati-hatj-2hatk`
D. `hati+hatj-2hati`
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1 Answer

  1. Correct Answer – A
    Given , `a xx b + c = 0`
    `rArr a xx (a xx b) + a xx c = 0`
    `rArr (a.b)a – (a.a) + a xx c = 0`
    `rArr 3a – 2b +a xx c = 0`
    `rArr 2b = 3a+ a xx c`
    `rArr 2b = 3hatj – 3hatk -2hati – hatj – hatk`
    `rArr 2b = – hati + 2hatj – 4hatk`
    `:. b = – hati + hatj – 2hatk`

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