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If l(1), m(1), n(1) and l(2), m(2), n(2)...

If `l_(1), m_(1), n_(1)` and `l_(2), m_(2), n_(2)`  are the direction cosines of two mutually perpendicular lines show that the Direction Cosines of the line perpendicular to both of them are `m_(1)n_(2) - n_(1)m_(2), n_(1)l_(2) - l_(1)n_(2), l_(1)m_(2) - m_(1)l_(2)`

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  2. Vectors vec(a), vec(b) and vec(c) are such that vec(a) + vec(b) + vec(...

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  3. If l(1), m(1), n(1) and l(2), m(2), n(2)  are the direction cosines of...

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  4. Find the equation of the plane Which contains the line of intersection...

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  5. Find the distance of the point (-1,-5,-10) from the point of intersect...

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  6. Let R be the relation on the set R of real numbers such that aRb iff a...

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  7. Prove that the following. [[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=...

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  8. Find the minimum distance of a point on the curve 2/x^2+1/y^2= 1 from...

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  9. A variable plane meets the coordinate axes at A, B, C and is at a cons...

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  10. Find x and y if [[1,3],[2,-1]][[x],[y]] = [[4],[1]].

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  11. If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the valu...

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  12. Let f={(1,a),(2,b),(3,c),(4,d)} and g={(a,x),(b,x),(c,y),(d,x)} Determ...

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  13. Express the value of "cosec"("cos"^(-1) 3/5 +"cos"^(-1) 4/5) in simple...

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  14. Let x Epsilon (2 π/4, π), y=| cos x | +| sin x | what is dy/dx ?

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  15. Write the least value of a for which the function f defined by f(x)=x^...

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  16. Evaluate:int x^2 dx/x*3 +1.

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  17. Find the differential equation n whcse solution is : y = ax^2 + bx + c...

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  18. What is the projection of the line segment joining (1,3,-1) and (3,2,4...

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  19. If vec a=(2,-2,1), vec b =(2,3,6) and vec c =(-1,0,2) then what is the...

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  20. An animal feed company must produce 200kg of a mixture consisting of i...

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