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If bara,barb,barc are non-coplaner, then...

If `bara,barb,barc` are non-coplaner, then show that the vectors `bara -bar b , barb + barc ,bar c + bara` are coplanar

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[bara barb barc]+[bara barc barb] =

If bara,barb,barc are non-coplanar vectors, prove that barb xx barc, barc xx bara, bara xx barb are also non coplanar and hence express any vector bard in terms of the vectors barbxxbarc, barcxxbara , and baraxxbarb .

If bara,barb,barc are unit coplanar vectors, then find [ 2bara-barb 2barb-barc 2barc -bara] .

If bara,barb,barc are non-coplanar vectors, prove that points with position vectors 2bara+3barb-barc,bara-2barb+3barc,3bara+4barb-2barc and bara - 6barb + 6barc are coplanar.

bara,barb,barc are non coplanar vectors. Prove that the four points -bara+4barb-3barc , 3bara+2barb-5barc , -3bara+8barb-5barc , -3bara+2barb+barc are co-planar.

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

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE - 4.1 (SHORT ANSWER QUESTIONS)
  1. Show that the vectors bara= bari + 3barj + bark, barb =2bari - barj-ba...

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  2. Show that the vectors bara - 2barb + 3barc,- 2bara + 3barb - 4barc and...

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  3. If bara,barb,barc are non-coplaner, then show that the vectors bara -b...

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  4. If the vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) + 2...

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  5. Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2ba...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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