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If (baraxxbarb)xxbarc=baraxx(barbxxbarc)...

If `(baraxxbarb)xxbarc=baraxx(barbxxbarc)` where `bara,barb,barc` are any three vectors such that `bara.barbne0,barb.barcne0` then `bara` and `barc` are

A

Parallel

B

Inclined at an angle of `pi/3` between them

C

Inclined at an angle of `pi/6` between them

D

Perpendicular

Text Solution

Verified by Experts

The correct Answer is:
A
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. If bara is a unit vector then baraxx{baraxx(baraxxbarb)}=

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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