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If A(1, -1, -3), B(2, 1, -2), C(-5, 2, -...

If A(1, -1, -3), B(2, 1, -2), C(-5, 2, -6) are the vertices of a `DeltaABC`, then the length of internal bisector of angle A is

A

`3/4sqrt(10)`

B

`1/2sqrt(10)`

C

`1/4sqrt(10)`

D

`sqrt(10)`

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AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. The vector abar(i)+b""bar(j)+cbar(k) is a bisector of the angle betwee...

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  2. If the vector -bar(i)+bar(j)-bar(k) bisects the angles between the vec...

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  3. If A(1, -1, -3), B(2, 1, -2), C(-5, 2, -6) are the vertices of a Delta...

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  4. The median AD of the triangle ABC is bisected at E. BE meets AC in F t...

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  5. If S is the circumcentre, G the centroid, O the orthocentre of Delta A...

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  6. If S is the circumcentre, O is the orthocentre of Delta ABC then vec(O...

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  7. The P.V.'s of the vertices of a DeltaABC are bar(i)+bar(j)+bar(k), 4ba...

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  8. The P.V.'s of the vertices of a triangle are 2bar(i)+3bar(j)+4bar(k), ...

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  9. DeltaABC be an equilateral triangle whose orthocentre is the origin 'O...

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  10. The P.V.'s of A, B, C are bar(i)+bar(j)+bar(k), 4bar(i)+bar(j)+bar(k),...

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  11. In a DeltaABC, P.V.'s of midpoints of AB, AC are bar(i)-bar(j)+bar(k),...

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  12. The vectors of bar(AB)=3bar(i)+4bar(k) and bar(AC)=5bar(i)-2bar(j)+4ba...

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  13. If D, E, F are the midpoints of BC, CA, AB of Delta ABC, then vec(A)D ...

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  14. If D, E and F are respectively the mid-points of AB, AC and BC in Delt...

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  15. If ABCD is a parallelogram then bar(AC)+bar(BD)=

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  16. ABCD is a parallelogram, with AC, BD as diagonals, then overset(-)(AC)...

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  17. OACB is a parallelogram with bar(OC)=bar(a), bar(AB)=bar(b)" then "bar...

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  18. If the diagonals of a parallelogram are bar(i)+5bar(j)-2bar(k) and -2b...

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  19. ABCD is a quadrilateral. E is the point of intersection of the line jo...

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  20. ABCDE is a pentagon then bar(AB)+bar(AE)+bar(BC)+bar(DC)+bar(ED)+bar...

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