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Arjun Siddharth Sethi
Asked: 2022-11-07T23:54:06+05:30 In:

If the position vectors off A,B,C and D are `2hati+hatj,hati-3hatj,3hati+2hatj and hati+lamdahatj`, respectively and `AB||CD`, then `lamda` will be
A. `-7`
B. 7
C. `-6`
D. None of these

If the position vectors off A,B,C and D are `2hati+hatj,hati-3hatj,3hati+2hatj and hati+lamdahatj`, respectively and `AB||CD`, then `lamda` will be
A. `-7`
B. 7
C. `-6`
D. None of these
Parabola
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  1. Correct Answer – C
    Now, `PQ= (hati – 3 hatj)-(2 hati + hatj) = – hati-4hatj`
    `and RS= – 2hati + (mu – 2)hatj`
    Given, `PQ||RS rArr PQ= lambda RS`
    `-hati – 4 hatj =[ lambda { – 2hati +(mu-2)hatj}]`
    `rArr lambda = 1//2 and mu = -6 `

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Dipti Kumar
Asked: 2022-10-29T03:48:08+05:30 In:

If the position vectors off A,B,C and D are `2hati+hatj,hati-3hatj,3hati+2hatj and hati+lamdahatj`, respectively and `AB||CD`, then `lamda` will be
A. `-8`
B. `-6`
C. 8
D. 6

If the position vectors off A,B,C and D are `2hati+hatj,hati-3hatj,3hati+2hatj and hati+lamdahatj`, respectively and `AB||CD`, then `lamda` will be
A. `-8`
B. `-6`
C. 8
D. 6
Parabola
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1 Answer

  1. Correct Answer – B
    `AB=(hati-3hatj)-(2hati+hatj)=-hati-4hatj`.
    `CD=(hati+lamdahatj)-(3hati+2hatj)=-2hati+(lamda-2)hatj`
    `AB||CDimpliesAB=xCD`
    `-hati-4hatj=x{-2hati+(lamda-2)hatj}`
    `implies -1=-2x,-4=(lamda-2)x`
    `impliesx=(1)/(2) and lamda=-6`.

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