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If the three vectors 2bari -barj +bark, ...

If the three vectors `2bari -barj +bark, bari+ 2barj -3bark, 3bari + lamdabarj + 5bark` are coplanar then `lamda` =

A

4

B

`-4`

C

2

D

3

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The correct Answer is:
B
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Show that the vectors bari+barj+bark,bari+barj,3bari+3barj+bark are coplaner

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Find the value of lamda , for which the vectors bara=bari-barj+bark,barb=2bari-barj+bark,barc=lamdabari-barj+lamdabark are coplaner.

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE-I
  1. For non - coplanar vectors bara,barb and barc determine p for which th...

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  2. Let a, b and c be distinct non-negative numbers. If the vectors abar(i...

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  3. If the three vectors 2bari -barj +bark, bari+ 2barj -3bark, 3bari + la...

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  4. Find the volume of the parallelopiped having co-terminus edges bari+ba...

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  5. The volume of parallelopiped with vectors bara+2barb-barc,bara-barb,ba...

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  6. The volume of Parallelopiped with edges bara+barb,barb+barc,barc+bara ...

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  7. The volume of a parallelopiped with coterminous edges bari+xbarj-x^(2)...

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  8. If the volume of tetrahedron with edges bari+barj-bark,bari+abarj+bark...

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  9. The volume of (in cubic units) of the tetrahedron with edges I + j + k...

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  10. If the vertices of a tetrahedron have the P.V.'s bar0, bari + barj, 2b...

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  11. bari,barj,bark is a right handed system of vectors and bara=2bari-25ba...

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  12. baraxx(barbxxbarc)+barbxx(barcxxbara)+barcxx(baraxxbarb)=

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  13. baraxx(barbxxbarc) is parallel to barb then

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  14. baraxx{baraxx(baraxxbarb)}=

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  15. If bara,barb,barc are any three vectors such that (bara+ barb) . barc ...

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  16. If bara, barb, barc are any three vectors then (baraxxbarb)xxbarc is a...

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  17. (barbxxbarc)xx(barcxxbara)=

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  18. (baraxxbarb)xx(barbxxbarc)=

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  19. (baraxxbari)xxbari +(baraxxbarj)xxbarj+(baraxxbark)xxbark=

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  20. If bara=2bari+3barj-bark,barb=-bari+2barj-4bark, barc=bari+barj+bark t...

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