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Given veca=2hati+2hatj+3hatk, vecb=-hati...

Given `veca=2hati+2hatj+3hatk, vecb=-hati+2hatj+hatk and vecc=3hati+hatj` such that `veca+lamdavecb` is perpendicular to `vecc`, then find the value of `lamda`.

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FULL MARKS-SAMPLE PAPER 13-PART
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  2. Find x and y if ((3x+4y,x-2y),(5,-3))=((2,4),(5,-3)).

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  4. Find the relation between a and b if lim(xto3)f(x) exists where f(x)={...

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  5. Find the derivative of t^(3) cos t with respect to t.

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  7. Find the largest possible domain for the real valued function f define...

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  8. Resolve into partial fractions (3x+7)/(x^(2)-3x+2).

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  10. Show that |{:(x,a,a),(a,x,a),(a,a,x):}|=(x+2a)(x-a)^2

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  11. Find the unit vectors perpendicular to each of the vectors veca+vecb" ...

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  12. Evaluate lim(xto3)(x^(2)-9)/(x-3) if it exists by finding f(3^(-)) and...

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  13. Prove that the equations to the straight lines through the origin each...

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  14. Evalute int(1)/(sqrt(x+3)-sqrt(x-4))dx.

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  15. Prove that cos5theta=16cos^(5)theta-20cos^(3)theta+5costheta.

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  16. Let A={1,2,3,4} and B={a,b,c,d}. Give a function from AtoB for each of...

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