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Find the volume of parallelopiped with e...

Find the volume of parallelopiped with edges `2vec i-3vec j ,vec i +vec j - vec k and 3vec i - vec k` .

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4`units`
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Obtain the volume of the parallelopiped whose sides are vectors vec a= 2 hat i - 3 hat j + 4 hat k , vec b= hat i +2 hat j - hat k , vec c= 3 hat i - hat j +2 hat k . Also find the vector (vec a×vec b)×vec c .

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MODERN PUBLICATION-TEST PAPER 6-EXERCISE
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  2. Write the equation of the line passing through the points (3,-2,-5) an...

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  3. Find the volume of parallelopiped with edges 2vec i-3vec j ,vec i +vec...

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  4. Show that the relation R on the set A = {1,2,3,4,5) given by R = {(a,b...

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  5. Consider f:R(+) [4, oo] is given by f(x)= x^(2) + 4. Show that f is in...

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  6. A merchant sells two models X and Y of TV with cost price ₹ 25000 and ...

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  7. A binary operation * is defined on the set X=R-{-1} by x**y=x+y +xy,...

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  8. Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4ab

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  9. Using determinants, find the values of a if the area of triangle with ...

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  10. If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...

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  11. Using properties of determinant prove that |{:(alpha,beta,gamma),(alph...

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  12. Differentiate tan^-1((2x)/(1-x^2)).

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  13. Examine continuity and differentiability f(x)={[xsin1/x,if x!=0],[0,if...

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  14. Find dy/dx if y=(cosx)^x.

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  15. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

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  16. Find the interval where y=sin2x-cos2x,xin[0,2pi] is (a) incresing (b)...

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  18. Integrate : int sin^(-1)xdx.

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  19. Find the particular solution of d^2 y/dx^2 =2x,given that x=0,y=2 and ...

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