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

If `bara =bari -2barj-3bark,barb =2bari + barj-bark, barc = bari +3barj-2bark` and `baraxx(barbxxbarc)=pbari+1barj+rbark` then p+q+r=

A

`-4`

B

`-2`

C

2

D

4

Text Solution

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The correct Answer is:
A
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If bara=bari+2barj+bark,barb=2bari+barj-bark,barc=3bari-barj+2bark then find baraxx(barbxxbarc),(baraxxbarb)xxbarc then show that they are not equal.

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 .

If bara= 2bari+barj-3bark, barb = bari-2barj+bark, barc = -bari+barj-4bark" and "bard=bari+barj+bark , then compute |(bara xx barb)xx (barc xx bard)| .

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. The vectors baraxx(barbxxbarc),barbxx(barcxxbara).barcxx(baraxxbarb) a...

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

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

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

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

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

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

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

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

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  10. If bara=bari+barj-bark,barb=bari-barj+bark,barc is a unit vector perpe...

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  11. (barbxxbarc).(axxbard)+(barcxxbara).(barbxxbard)+(baraxxbarb).(barcxxb...

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  12. If bara is parallel to barbxxbarc then (baraxxbarb).(baraxxbarc))=

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  13. If bara, barb lie in a plane, normal to the plane containing barc, bar...

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  14. [(baraxxbarb)xx(barbxxbarc)(barbxxbarc)xx(barcxxbara)(barcxxbara)xx(ba...

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  15. If barA=baraxxbarb,barB=barbxxbarc,barC=barcxxbara then barAxx(barBxxb...

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  16. Given that barc is in the plane of bara, barb and bard is not iri the ...

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  17. [barbxxbarcbarcxxbarabaraxxbarb]=[barabarbbarc]^(k) then k=

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  18. If bara, barb, barc are non-coplanar, non zero vectors then (baraxxbar...

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  19. [barb barc bard]bara-[bara barc bard]barb+[bara barb bard]barc-[bara b...

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  20. (baraxxbari).(barjxxbark)+(baraxxbarj).(barkxxbari)+(baraxxbark).(bari...

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