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Akanksha Prabhu
Asked: 2022-11-09T18:26:42+05:30 In:

Obtain the magnitude and direction cosines of vector `(A-B),` if `A=2hati+3hatj+hatk, B=2hati+2hatj+3hatk`
A. `0,(1)/(sqrt(5)),(-2)/(sqrt(5))`
B. `0,(2)/(sqrt(5)),(1)/(sqrt(5))`
C. `0,0,(1)/(sqrt(5))`
D. None of these

Obtain the magnitude and direction cosines of vector `(A-B),` if `A=2hati+3hatj+hatk, B=2hati+2hatj+3hatk`
A. `0,(1)/(sqrt(5)),(-2)/(sqrt(5))`
B. `0,(2)/(sqrt(5)),(1)/(sqrt(5))`
C. `0,0,(1)/(sqrt(5))`
D. None of these
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1 Answer

  1. Correct Answer – A
    (a) WE have `A-B =hatj-2hatk=C`
    `C=sqrt(1+4)=sqrt(5)`
    `cos alpha=(o)/(sqrt(5))=0,cosbeta=(1)/(sqrt(5))and cos gamma =(-2)/(sqrt(5))`

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