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Let a, b and c be distinct non-negative ...

Let a, b and c be distinct non-negative numbers. If the vectors `abar(i)+abar(j)+cbar(k), bar(i)+bar(k) and cbar(i)+cbar(j)+b""bar(k)` lie in a plane, then c is

A

A.M. of a and b

B

G.M. of a and b

C

H.M. of a and b

D

`(ab)^(2)`

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The correct Answer is:
B
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE-I
  1. The four points whose position vectors are 6bari -7 barj, 16bari -29ba...

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  2. For non - coplanar vectors bara,barb and barc determine p for which th...

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

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

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

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

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

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

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

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

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

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

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

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  14. baraxx(barbxxbarc) is parallel to barb then

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  15. baraxx{baraxx(baraxxbarb)}=

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

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

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  18. (barbxxbarc)xx(barcxxbara)=

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  19. (baraxxbarb)xx(barbxxbarc)=

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

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