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Let there be two points A, B on the curv...

Let there be two points A, B on the curve `y=x^(2)` in the plane XOY satisfying `bar(OA).bari =1` and `bar(OB).bari = -2` then the length of the vector `2bar(OA)-3bar(OB)=`

A

`2sqrt(41)`

B

`sqrt(41)`

C

`(sqrt(41))/(2)`

D

`sqrt(14)`

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A
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AAKASH SERIES-APPENDICES (REVISION EXERCISE)-DOT PRODUCT OF TWO VECTORS
  1. The distance between the line vecr = 2hati - 2hatj + 3hatk + lambda (...

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  2. O' is the origin in the cartesian plane. From the origin 'O' take poin...

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  3. Let there be two points A, B on the curve y=x^(2) in the plane XOY sat...

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  4. If A,B,C,D are four points in space satisfying bar(AB).bar(CD)=k[|bar...

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  5. If the vectors barb=(tan alpha, -1, sqrt(4"sin"(alpha)/(2))), barc=(ta...

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  6. If baru and barv are unit vectors at an angle alpha and bara unit vect...

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  7. The angle between any two opposite pair of edges of a regular tetrahed...

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  8. If |veca|=2, |vecb|=3 and |2veca-vecb|=5, then |2veca+vecb| equals

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  9. If the vectors veca = hati-hatj+2hatk, vecb=2hati+4hatj+hatk and vecc=...

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  10. Let veca and vecb be two unit vectors. If the vectors vecc=hata+2hatb ...

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  11. If hata, hatb & hatc are unit vectors satisfying sqrt(3) veca-vecb=vec...

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  12. Let veca=2hati-hatj +hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2h...

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  13. Equation of sphere whose centre is at 7bari-4barj+bark and radius |3b...

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  14. The cartesian equation of the sphere whose centre is C(5, 2, 3) and w...

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  15. The centre and radius of the sphere r^(2) - 2r. (3i + 4j - 5k) + 1 = 0...

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  16. Equation of the sphere described on the join of the points bara=2bari+...

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  17. The radius of the sphere (barr-2bari+3barj-bark). (barr+3bari-barj+2b...

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  18. The cartesian equation of the sphere whose diameter end points are A(1...

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  19. Arrangement of raddi of the following spheres in de-scendin order is ...

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  20. The cartesian equation of the sphere with centre (2, -1, 3) and radi...

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