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IF OABC is a tetrahedron where O is the ...

IF OABC is a tetrahedron where O is the origin and A,B and C have respective positions vectors as `bara,barb and barc` then prove that the circumcentre of the tetrahedron is `((bara)^2(barb times barc)+(barb)^2 (barc times bara)+(barc)^2 (bara times barb))/(2[bara barb barc])`

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FIITJEE-VECTOR-SOLVED PROBLEMS (OBJECTIVE)
  1. Let ABC and PQR be any two triangles in the same plane. Assume that th...

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  2. Line L1 is parallel to vector vecalpha=-3 hat i+2 hat j+4 hat k and p...

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  3. IF OABC is a tetrahedron where O is the origin and A,B and C have resp...

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  4. Let bara,barb and barc be non coplanar unit vectors equally inclined t...

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  5. In a triangle PQR, S and T are points on QR and PR respectively, such ...

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  6. Let X be the midpoint of the side AB of triangle ABC. Let Y be the mid...

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  7. Let bara,barb,barc be unit vectors such that bara+barb+barc=bar0. Whic...

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  8. IF bara times barb = barc and barb times barc=bara then

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  9. barA,barB,barC are three vectors respectively given by 2hati+hatk,hati...

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  10. The number of distinct real values of lamda for which the vectors -lam...

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  11. If bara=i+j+k,bara.barb=1 and baraxxbarb=j-k, then : barb=

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  12. IF bara,barb,barc are unit vectors such that bara+barb+barc=0 then the...

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  13. If bara and barb are two unit vectors and theta is the angle between t...

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  14. If bara,barb,bar c are position vectors of the non- collinear points ...

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  15. Find a unit vector in XY plane, which makes an angle of 45^@ with the ...

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  16. OABC is a tetrahedron. The position vectors of A, B and C are i, i+j a...

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  17. Consider the points A (baro),B(3hati+f(t) hatj+hatk) and C(2hati+f'(t)...

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  18. If vectors ax hati+3hatj-5hatk and xhati+2hatj+2axhatk make an acute a...

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  19. the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is ...

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  20. IF the vector bara and barb are non-coplanar then bara/|bara|+barb/|b...

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