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Let bara ,barb,barc be non coplanar vect...

Let `bara ,barb,barc` be non coplanar vectors and `bara^(1)=(barbxxbarc)/([barabarbbarc]),barb^(1)=(barcxxbara)/([barabarbbarc])` and `barc^(1)=(baraxxbarb)/([barabarbbarc])` then prove that
`[barabarbbarc][bara^(1)barb^(1)barc^(1)]=1`

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
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Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/([bara barb barc]),barb^(1)=(barcxxbara)/([bara barb barc]) and barc^(1)=(baraxxbarb)/([bara barb barc]) then prove that bara.bara^(1)=barb.barb^(1)=barc.barc^(1)=1

Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/([bara barb barc]),barb^(1)=(barcxxbara)/([bara barb barc]) and barc^(1)=(baraxxbarb)/([bara barb barc]) then prove that bara.barb^(1)=bara.barc^(1)=barb.bara^(1)=barb.barc^(1)=barc.bara^(1)=barc.barb^(1)=0

Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/([barabarbbarc]),barb^(1)=(barcxxbara)/([barabarbbarc]) and barc^(1)=(baraxxbarb)/([barabarbbarc]) then prove that (bara+barb).bara^(1)+(barb+barc).barb^(1)+(barc+bara).barc^(1)=3

bara,barb,barc are non-coplanar and barl=(barbxxbarc)/([bara barb barc]),barm=(barcxxbara)/([bara barb barc]),barn=(baraxxbarb)/([bara barb barc]) then (bara+barb+barc).(barl+barm+barn)=

If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc)/([bara barb barc]),barq=(barcxxbara)/([bara barb barc]),barr=(baraxxbarb)/([bara barb barc]) then (bara+barb).barp+(barb+barc).barq+(barc+bara).barr =

If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc)/([barabarbbarc]),barq=(barcxxbara)/([barabarbbarc]),barr=(baraxxbarb)/([barabarbbarc]) then (2bara+3barb+4barc).barp+(2barb+3barc+4bara).barq+(2barc+3bara+4barb).barr =

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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc...

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  2. If bar(a^(1)),bar(b^(1)),bar(c^(1)) represents the reciprocal system o...

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  3. Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/...

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  4. bara^(1)xxbarb^(1)+barb^(1)xxbarc^(1)+barc^(1)xxbara^(1)=

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  5. If barr is any vector then barr =

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  6. Arrange the following in the descending order of magnitude (A) [I...

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  7. A : If bara, barb, barc form a left handed orthogonal system such that...

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  8. If bari,barj,bark are orthogonal unit vector triad, then bari xx(barrx...

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  9. bari xx [(baraxxbarb)xxbari] +barj xx [(baraxx barb)x barj] + bark xx ...

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  10. bara, barb, barc are three unit vectors, barb is not parallel to barc ...

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  11. Let bara,barb and barc be non-zero vectors such that (baraxxbarb)xxbar...

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  12. If bara is a unit vector then baraxx{baraxx(baraxxbarb)}=

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

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  14. If (baraxxbarb)xxbarc=baraxx(barbxxbarc) where bara,barb,barc are any ...

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  15. If bara, barb are two non-zero vectors and c is nonzero scalar, and ba...

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  16. bari, barj, bark is a right handed orthonormal system of vectors and b...

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  17. The vectors baraxx(barbxxbarc),barbxx(barcxxbara).barcxx(baraxxbarb) a...

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  18. If veca,vecb,vecc,vecd are coplaner vectors, then (vecaxxvecb)xx(veccx...

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  19. If bara =bari -2barj-3bark,barb =2bari + barj-bark, barc = bari +3barj...

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  20. If vecbara=2bari+3barj-4bark,vecb=bari+barj+bark,vecc=4bari+2barj+3bar...

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