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The vector of magnitude 3sqrt(6) along t...

The vector of magnitude `3sqrt(6)` along the bisector of the angle between the vectors `4bar(i)-7bar(j)+4bar(k) and bar(i)+2bar(j)-2bar(k)` is

A

`7bar(i)-bar(j)-2bar(k)`

B

`pm(7bar(i)-bar(j)-2bar(k))`

C

`-7bar(i)-bar(j)-2bar(k)`

D

`pm(-7bar(i)+bar(j)-2bar(k))`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. If xbar(a)+ybar(b)+zbar(c),xbar(b)+ybar(c)+zbar(a),xbar(c)+ybar(a)+zba...

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  2. If bar(r)=3bar(i)+2bar(j)-5bar(k), bar(a)=2bar(i)-bar(j)+bar(k), bar(b...

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  3. The vector of magnitude 3sqrt(6) along the bisector of the angle betwe...

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  4. The vector abar(i)+b""bar(j)+cbar(k) is a bisector of the angle betwee...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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