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(baraxxbari).(barjxxbark)+(baraxxbarj).(...

`(baraxxbari).(barjxxbark)+(baraxxbarj).(barkxxbari)+(baraxxbark).(barixxbarj)`=

A

0

B

`bar0`

C

`bara`

D

1

Text Solution

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The correct Answer is:
A
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barixx(barjxxbark)+barjxx(barkxxbari)+barkxx(barixxbarj)=

(baraxxbari)xxbari +(baraxxbarj)xxbarj+(baraxxbark)xxbark =

i) Show that barixx(baraxxbari)+barjxx(baraxxbarj)+barkxx(baraxxbark)=2bara ii) If barixx(barrxxbari)+barjxx(barrxxbarj)+barkxx(barrxxbark)=baraxxbarb then find barr interms of bara and barb

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

The volume of tetrahedron with edges barixxbarj,barjxxbark,barkxxbari is

bari, barj, bark is a right handed orthonormal system of vectors and bara is a vector of magnitude 2 units satisyfing baraxxbari =barj then bara. bari =

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. If bara, barb, barc are non-coplanar, non zero vectors then (baraxxbar...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The perpendicular distance from origin to the plane passing through th...

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  20. The shortest distance between the lines whose equations are barr = t...

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