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If (bara xx barb).(barc xx bard) = (bara...

If `(bara xx barb).(barc xx bard) = (bara.barc)(barb.bard) + k(bara.bard)(barb.barc)` then the value of k is

A

1

B

0

C

`-2`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. If bara and barb are unit vectors, then the vector ( bara + barb) xx (...

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  2. If barp is non- · zero vector such that barp. bara= barp. barb = 0 and...

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  3. If (bara xx barb).(barc xx bard) = (bara.barc)(barb.bard) + k(bara.bar...

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  4. If (baraxxbarb)xx(barcxxbard)=[barabarbbard]barc +kbard then k =

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  5. The volume of tetrahedron with edges barixxbarj,barjxxbark,barkxxbari ...

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  6. If bara. barb = barb. barc = barc . bara = 0 then [bara barb barc] =

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  7. If bara,barb are non-zero and non-collinear vectors then [bara barb ba...

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  8. bara is perpendicular to barb,barc. If abs(bara)=2,abs(barb)=3,abs(bar...

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  9. The angle between a,b is 30° and barc is perpendicular to both bara an...

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  10. The P. V. of the points A, B, C, D are 3bari-2barj-bark,2bari+3barj-4b...

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  11. If a(bar(alpha) xx bar(beta)) + b(bar(beta) xx bar(gamma)) +c(bar(gamm...

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  12. baralpha=x(baraxxbarb)+y(barbxxbarc)+z(barcxxbara) and [barabarbbarc]=...

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  13. If bara. barb = barb. barc = barc . bara = 0 then [bara barb barc] =

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  14. Let bara=2bari+barj+bark,barb=bari+2barj-bark and a unit vector barc b...

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  15. Find unit vector orthogonal to the vector 3bari + 2barj + 6bark and co...

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  16. Let baralpha=abari+bbarj+cbark,barbeta=bbari+cbarj+abark and bargamma=...

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  17. If barx.bara=barx.barb=barx.barc=0 for some non-zero vector barx and a...

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  18. If bara, barb, barc represents three concurrent edges of a rectangular...

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  19. If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc...

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  20. bara,barb,barc are non-coplanar and barl=(barbxxbarc)/([bara barb barc...

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