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If 4veci+7vecj+8veck,2veci+3vecj+4veck a...

If `4veci+7vecj+8veck`,`2veci+3vecj+4veck` and `2veci+5vecj+7vecj` are the position vectors of the vertices of A,B and C of a triangle ABC, then the position vector of the point where the bisector of `/_A` meets BC

A

`1/3(6overset(^)i+13overset(^)j+18overset(^)k)`

B

`3/2(6overset(^)i+12overset(^)j-8overset(^)k)`

C

`1/3(-6overset(^)i-8overset(^)j-9overset(^)k)`

D

`2/3(-6overset(^)i-12overset(^)j+8overset(^)k)`

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The correct Answer is:
A
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TARGET PUBLICATION-VECTORS-Competitive Thinking
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  2. If barp=(barbxxbarc)/(bara" "barb" "barc),barq=(barcxxbara)/(bara" "ba...

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  3. If vecu, vecv, vecw are three non-coplanar vectors, the (vecu+vecv-vec...

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  4. If bara,barb,barc are three non-coplanar vectors and barp,barq,barr ar...

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  5. If a, b and c are non-coplanar vectors and d=lambdaa+mub+nuc, then lam...

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  6. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

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  7. If bara,barb,barc are non-coplanar vectors and lambda is a real number...

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  8. If the vectors 2overset(^)i-3overset(^)j,overset(^)i+overset(^)j-overs...

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  9. The volumes of the parallelopiped whose edges are represented by bara=...

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  10. If the volume of the tetrahedron formed by the coterminus edges bara,b...

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  11. The volume of a parallelopiped whose edges are represented by -12bar ...

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  12. If the three co-terminous edges of a paralleloP1ped are represented by...

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  13. If bara=2overset(^)i-3overset(^)j+5overset(^)k,barb=3overset(^)i-4over...

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  14. The volume of a tetrahedron (in cubic units) whose vertices are 4overs...

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  15. The vectors bar(AB)=3overset(^)i+5overset(^)j+4overset(^)k and bar(AC)...

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  16. A(4,3,5),B(0,-2,2) and C(3,2,1) are three points. The coordinates of t...

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  17. If 4veci+7vecj+8veck,2veci+3vecj+4veck and 2veci+5vecj+7vecj are the p...

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  18. consider the points A,B,C and D with position vector 7veci-4vecj+7veck...

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  19. In a right angled triangle ABC, the hypotenuse AB =p, then vec(AB).vec...

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