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i) Show that barixx(baraxxbari)+barjxx...

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`

Text Solution

Verified by Experts

The correct Answer is:
`(baraxxbarb)/2`
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Show that i) baraxx(baraxx(baraxxbarb))=(bara.bara)(barbxxbara) ii) {(baraxxbarb)xx(baraxxbarc)}.bard=(bara.bard)[bara barb barc]

If [bara barb barc]=2,baraxxbarb=barc,barbxxbarc=2bara then show that barcxxbara=barb

If bara=2bari+barj-bark,barb=-bari+2barj-4bark,barc=bari+barj+bark then find (baraxxbarb).(barbxxbarc)

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.

Let bara=bari+barj+bark,barb=2bari -barj+3bark,barc=bari-barj and bard = 6bari + 2barj + 3bark . Express bard , interms of barb xxbarc, barcxxbara and baraxxbarb

If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc)/([barabarbbarc]),barq=(barcxxbara)/([barabarbbarc]),barr=(baraxxbarb)/([barabarbbarc]) then (2bara+3barb+4barc).barp+(2barb+3barc+4bara).barq+(2barc+3bara+4barb).barr =

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE - 4.1 (SHORT ANSWER QUESTIONS)
  1. Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2ba...

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  2. For non - coplanar vectors bara,barb and barc determine p for which th...

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  3. If bara,barb,barc are non-coplanar vectors, prove that points with pos...

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  4. Show that the four points -bara+ 4barb - 3barc, 3bara +2barb-5barc,-3b...

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  5. Prove that the four points 4bari + 5barj +bark, - (barj + bark) , 3b...

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  6. Find lambda in order that the four points A(3,2,1), B(4, lambda,5),C(4...

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  7. If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...

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  8. Let bara be perpendicular to both barb,barc. If |bara|=2, |barb|=3, |b...

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  9. Let bara=bari-bark, barb=xbari + barj+(1-x)bark and c-ybari+xbarj+(1+x...

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  10. If bara=(1,-1,-6),barb=(1,-3,4) and barc(-2,-5,3) then compute baraxx(...

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  11. i) Show that barixx(baraxxbari)+barjxx(baraxxbarj)+barkxx(baraxxbark...

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  12. Show that 3 vectors baraxx(barb xxbarc),barb xx(barcxxbara), barc xx (...

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  13. If barabarbbarc are three unit vectors such that baraxx(barbxxbarc)=1/...

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  14. If bara,barb and barc are non zero non-collinear vectors and theta(ne0...

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  15. Show that i) baraxx(baraxx(baraxxbarb))=(bara.bara)(barbxxbara) ii...

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  16. If the four vectors a,b,c,d are coplanar, then (a xx b) xx (c xx d) =

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  17. Prove that [barbxxbarc barcxxbara baraxxbarb]=[bara barb barc]^(2...

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  18. If (barbxxbarc)xx(barcxxbara)=3barc, then find [barbxxbarc barcxxbar...

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  19. If bara=2bari+barj-bark,barb=-bari+2barj-4bark,barc=bari+barj+bark the...

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  20. If bara,barb,barc,bard are four vectors, then show that (baraxxbarb).(...

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