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Let x^2+3y^2=3 be the equation of an ell...

Let `x^2+3y^2=3` be the equation of an ellipse in the `x-y` plane. `Aa n dB` are two points whose position vectors are `-sqrt(3) hat ia n d-sqrt(3) hat i+2 hat kdot` Then the position vector of a point `P` on the ellipse such that `/_A P B=pi//4` is a. `+- hat j` b. `+-( hat i+ hat j)` c. `+- hat i` d. none of these

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If | vec a+ vec b|<| vec a- vec b|, then the angle between vec aa...

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  2. ' I ' is the incentre of triangle A B C whose corresponding sides are ...

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  3. Let x^2+3y^2=3 be the equation of an ellipse in the x-y plane. Aa n dB...

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  4. Locus of the point P, for which vec(OP) represents a vector with direc...

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  5. If vec xa n d vec y are two non-collinear vectors and A B C isa trian...

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  6. If hat i-3 hat j+5 hat k bisects the angle between hat aa n d- hat ...

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  7. If 4 hat i+7 hat j+8 hat k ,2 hat i+3 hat j+24a n d2 hat i+5 hat j+7 h...

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  8. If vec b is a vector whose initial point divides thejoin of 5 hat i...

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  9. Find the value of lambda so that the points P ,Q ,R and S on the sides...

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  10. A uni-modular tangent vector on the curve x=t^2+2,y=4t-5,z=2t^2-6t=...

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  11. If vec xa n d vec y are two non-collinear vectors and a, b, and c r...

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  12. The position vectors of points Aa n dB w.r.t. the origin are vec a=...

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  13. What is the unit vector parallel to vec a=3 hat i+4 hat j-2 hat k ...

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  14. ABCD  is a quadrilateral and  E  is the point of intersection of ...

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  15. ABCD is a parallelogram. If L and M be the middle points of BC and CD,...

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  16. If vec a , vec b , vec ca n d vec d are four vectors in three-dimensi...

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  17. Find the vector of magnitude 3, bisecting the angle between the vec...

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  18. If vec aa n d vec b are two vectors of magnitude 1 inclined at 120^0 ...

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  19. If vec r1, vec r2, vec r3 are the position vectors of the collinear ...

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  20. Examine the following vector for linear independence: (1) vec i+ve...

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