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If bari,barj,bark are orthogonal unit ve...

If `bari,barj,bark` are orthogonal unit vector triad, then `bari xx(barrxxbari)+ barjxx(barrxxbarj)+bark xx(barrxxbark) =`

A

`barr`

B

`-barr`

C

`-2barr`

D

`2barr`

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Verified by Experts

The correct Answer is:
D
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(bari-barj) xx (barj-bark).(bark-bari) =

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

If bara,barb are non-zero and non-collinear vectors then [bara barb bari]bari+[bara barb barj]barj+[bara barb bark]bark =

[bari-barj bark]+[-bari-barj bark]+[bari-bark bark] =

The vector [(bari-barj)xx(barj-bark)]xx(bari+5bark) is

The orthogonal projection vector of bara = 2bari + 3barj+3bark " on " barb=bari-2barj+bark is

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

If bara= bari-2barj-3bark, barb=2bari+barj-bark, barc= bari+3barj-2bark then verify that bara xx (barb xx barc) = (bara.barc)barb- (bara.barb)barc .

Find the value of [bari+barj+bark,bari-barj,bari+2barj-bark] .

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. Arrange the following in the descending order of magnitude (A) [I...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Let bara=2bari+barj-2bark,barb=bari+barj. If barc is a vector such tha...

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  17. If baraxx(barbxxbarc)=(baraxxbarb)xxc' then which of the following is ...

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  18. If bara,barb are two units vectors inclined at an angle pi/3 then {axx...

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  19. sum[(baraxxbari)xxbarj]^(2)=

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  20. [barb barc barbxxbarc]+{barb.barc}^(2)=

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