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Let bar(a)=bar(i)+bar(j), bar(b)=bar(j)+...

Let `bar(a)=bar(i)+bar(j), bar(b)=bar(j)+bar(k) and bar(c)=alphabar(a)+betabar(b)`. If the vectors `bar(i)-2bar(j)+bar(k), 3bar(i)+2bar(j)-bar(k) and bar(c)` are coplanar then `alpha/beta` equals

A

-1

B

2

C

3

D

-3

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. If bar(a), bar(b), bar(c) are non coplanar then the vectors bar(a)-2ba...

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  2. The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+ba...

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  3. Let bar(a)=bar(i)+bar(j), bar(b)=bar(j)+bar(k) and bar(c)=alphabar(a)+...

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  4. The number of distinct real values of lambda for which the vectors -la...

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  5. If bar(a)=bar(i)+bar(j)+bar(k), bar(b)=4bar(i)+3bar(j)+4bar(k), bar(c)...

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  6. If bar(a)=2bar(i)-bar(j)+3bar(k), bar(b)=-bar(i)+4bar(j)-2bar(k), bar(...

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  7. If the points A(bar(a)), B(bar(b)), C(bar(c)) satisfy the relation 3ba...

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  8. If xbar(a)+ybar(b)+zbar(c),xbar(b)+ybar(c)+zbar(a),xbar(c)+ybar(a)+zba...

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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