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If bara, barb, barc are non-coplanar, no...

If `bara, barb, barc` are non-coplanar, non zero vectors then `(baraxxbarb)xx(baraxxbarc)+(barb xxbarc)xx(barbxxbara)+ (barcxxbara)xx(barcxxbarb) =`

A

`[barabarbbarc]^(2)(bara+barb+barc)`

B

`[barabarbbarc](bara+barb+barc)`

C

`bar0`

D

0

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Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. Given that barc is in the plane of bara, barb and bard is not iri the ...

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

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

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

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

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  6. If bara, barb, barc, bard are any four vectors then (baraxx barb) xx (...

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  7. If bara,barb,barc are coplanar vectors then (baraxxbarb)xx(barbxxbarc)...

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  8. If bara, barb, barc are any three vectors such that baraxxbarb=barc, b...

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  9. If bara,barb, barc are vectors such that [barabarbbarc]=4 then [baraxx...

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  10. Assertion (A) : Vector component of barb per pendicular to bara is (ba...

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  11. Let the vectors bara, barb, barc, bard be such that (bara xx barb) xx ...

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  12. The point of intersction of barr xx bara= barbxx bara and barr xx bar...

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  13. If the lines barr=bara+lamda(barbxxbarc) and barr=barb+mu(barcxxbara) ...

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  14. The distance of the point (1, 1, 1) from the plane passing through the...

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  15. Find the equation of the plane passing through the point A=(2,3,-1),B=...

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  16. Equation of the plane passing through the point A (3, -2, -1) and para...

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  17. Vector equation of the plane passing through the line barr =bara+ alph...

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  18. The vectors equation of the plane which is per-pendicular to 2bari -3b...

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  19. The position vectors of the three non-collinear points A, B, C, are ba...

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  20. The distance between the line barr=2bari-2barj+3bark+lamda(bari-barj...

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