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Prove, by vector method or otherwise,...

Prove, by vector method or otherwise, that the point of intersection of the diagonals of a trapezium lies on the line passing through the midpoint of the parallel sides (you may assume that the trapezium is not a parallelogram).

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VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)
  1. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

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  2. If veca, vecb, vecc and vecd ar distinct vectors such that veca xx v...

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  3. For any two vectors vecu and vecv prove that (1+|vecu|^2)(1+|vecv|^2) ...

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  4. A , B , Ca n dD are any four points in the space, then prove that |...

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  5. about to only mathematics

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  6. vecu, vecv and vecw are three nono-coplanar unit vectors and alpha, be...

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  7. about to only mathematics

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  8. Let vecu and vecv be unit vectors. If vecw is a vector such that vecw+...

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  9. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

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  10. If vecA , vecB and vecC are vectors such that |vecB| = |vecC| prove th...

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  11. If vectors, vecb, vecc and vecd are not coplanar, the prove that vecto...

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  12. If c is a given non - zero scalar, and vecA and vecB are given non- ze...

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  13. about to only mathematics

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  14. Two triangles ABC and PQR are such that the perpendiculars from A to Q...

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  15. Find the position vector of the mid point of the vector joining the p...

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  16. Prove, by vector method or otherwise, that the point of intersectio...

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  17. Let veca, vecb and vecc be non - coplanar unit vectors, equally inclin...

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  18. If vecA,vecB,vecC are three vectors respectively given by 2hati+hatk, ...

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  19. If vectors veca, vecb and vecc are coplanar, show that |{:(veca, vecb,...

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  20. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

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