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For non-zero vectors bara,barb,barc prov...

For non-zero vectors `bara,barb,barc` prove that `abs(baraxxbarb.barc)=absbaraabsbarbabsbarc` holds if and only if `bara.barb=barb.barc=barc.bara=-`

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For non-zero vectors bara,barb,barc,abs(baraxxbarb.barc)=abs(bara)abs(barb)abs(barc) holds if and only if

bara.barb^(1)+barb.barc^(1)+barc.bara^(1)=

[bara barb barc]+[bara barc barb] =

barc.(barb+barc)xx(bara+barb+barc)=

(bara+2barb-barc).(bara-barb)xx(bara-barb-barc)=

If bara,barb,barc are three vectors such that absbara =1, absbarb = 2, absbarc =3 and bara+barb+barc = bar0 , then bara.barb+barb.barc+barc.bara =

The vectors bara,barb,barc " satisfy the condition " bara+barb+2barc=bar0. " If " absbara=1, absbarb =4, absbarc =2 , " then " bara.barb+barb.barc+barc.bara =

Show that bara.[(barb+barc)xx(bara+barb+barc)]=0

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. For non-zero vectors bara,barb,barc prove that abs(baraxxbarb.barc)=ab...

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  2. Which of the following are meaningful ?

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  3. Which of the following is meaningless ?

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  4. If bara.bari = 4 then (bara xx barj).(2barj - 3bark) =

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  5. [baribarjbark]+[barjbarkbari]+[barkbaribarj]+[baribarkbarj]+[barjbarib...

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  6. If [veca vecb vecc]=1 then (bara.(barbxxbarc))/((barcxxbara).barb)+(...

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  7. If bara,barb,barc are non-coplanar vectors and (bara+2barb+barc).(bara...

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  8. If bara, barb, barc are the sides of a triangle ABC then [barabarb bar...

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  9. If the vectors abari+barj+bark,bari+bbarj+bark,barI+barj+cbarK are cop...

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  10. If the vectors (a, b, c), (b, c, a) and (c, a, b) are linealy dependen...

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  11. The volume of a parallelopiped whose edges are represented by -12bari+...

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  12. The volume of the rectangular box whose coterminal edges along axes of...

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

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  14. The volume of the tetrahedron having the edges barI+2barj-bark,bari+ba...

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

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  16. Which of the following statement is not true

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  17. If bara is perpendicular to barbxxbarc, then which of the following is...

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  18. barixx(barjxxbark)+barjxx(barkxxbari)+barkxx(barixxbarj)=

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  19. barixx(barixxbara)+barjxx(barjxxbara)+barkxx(barkxxbara)=

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  20. If barb, barc are like unit vectors and baraxx (barbxx barc) = bar0 th...

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  21. If bara, barb are two unit perpendicular vectors then baraxx (baraxx b...

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