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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 =

SRISIRI PUBLICATION-QUESTION PAPER -Section B
  1. Find the vector equation of the plane passing through the points. 4bar...

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  2. In the two dimensional plane, prove by using vector methods, the equat...

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

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  4. Find the area of the triangle formed with the points A(1,2,3), B(2,3,1...

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

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  6. Prove that angle in a semi circle is a rightangle by using Vector meth...

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  7. If (sin(alpha+beta))/(sin(alpha-beta)) = (a+b)/(a-b), then prove that ...

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  8. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

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  9. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

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  10. Show that sin ^(4). (pi)/(8)+ sin ^(4) .(3pi)/(8) sin ^(4). (5pi)/(8)...

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  11. Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9p...

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  12. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

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  13. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

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  14. If alpha,beta are the solutions of the equation acostheta+bsintheta=c...

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  15. If alpha,beta are the solutions of the equation acostheta+bsintheta=c...

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  16. If A is not an integral multiple of (pi), prove that cos A cos 2A cos ...

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  17. Solve sin x + sqrt(3) cos x = sqrt(2).

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  18. Solve that sqrt(2)(sinx+cosx)=sqrt(3)

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  19. Solve 2 cos^(2) theta - sqrt(3) sin theta + 1 = 0.

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  20. Solve 2 cos^(2) theta + 11 sin theta = 7.

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