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Let bara=bari+barj+bark,barb=bari-barj+2...

Let `bara=bari+barj+bark,barb=bari-barj+2bark,barc=xbari+(x-2)barj-bark`. If the vector `barc` lie in the plane of `bara` and `barb` then x equals to

A

0

B

1

C

`-4`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. Show that the four points with position vectors bara,barb,barc,bard ar...

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  2. Let bara=bari-2barj+3bark,barb=2bari+3barj-bark,barc=lamdabari+barj+(2...

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  3. Let bara=bari+barj+bark,barb=bari-barj+2bark,barc=xbari+(x-2)barj-bark...

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  4. If baraxxbarr=barb+lamdabara,bara.barr=3, where bara=2~i+barj-bark,bar...

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  5. If baraxxbarr=barb+lamdabara, bara.barr=3, abs(bara)=1, barb.barr=

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  6. Let barb = 2bari + barj - bark, barc = bari + 3bark . If veca is a uni...

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  7. Let a=2bari + barj-bark and barb = barI +3bark. If barc is a unit vect...

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  8. Let bara=bari-barj,barb=barj-bark,barc=bark-bari. lf dis a unit vector...

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  9. A unit vector in the plane of the vectors 2bari +barj+bark, bari - bar...

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  10. The value of 'a' so that the volume of parallelopiped formed by bari +...

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  11. The volume of parallelopiped with edges bar(OA) = (lamda+ 2)bari +(l...

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  12. If bara, barb, barc are three non-coplanar vectors represented by conc...

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  13. If [a b c] = 3, then the volume (in cube units) of the parallelopiped ...

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  14. If V is the volume of the parallelopiped having three coterminous edge...

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  15. The volume of the triangular pyramid with vertices A(2, 2, 2), B(4, 3,...

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  16. If bara, barb, barc are non-coplanar, nonzero vectors and barr is any ...

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

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  18. Let barr be a vector perpendicular to bara + barb + barc . If barr=l(b...

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  19. Let bara,barb are two unit vectors such that bara.barb=0. If barc=xbar...

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  20. If bara, barb, barc are non - coplanar vectors and lamda is a real num...

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