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The position vectors of the points Pa...

The position vectors of the points `Pa n dQ` with respect to the origin `O` are ` vec a= hat i+3 hat j-2 hat k` and ` vec b=3 hat i- hat j-2 hat k ,` respectively. If `M` is a point on `P Q ,` such that `O M` is the bisector of `angleP O Q ,` then ` vec O M` is a. `2( hat i- hat j+ hat k)` b. `2 hat i+ hat j-2 hat k` c. `2(- hat i+ hat j- hat k)` d. `2( hat i+ hat j+ hat k)`

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If vectors vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 ha...

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  2. A B C D parallelogram, and A1a n dB1 are the midpoints of sides B Ca n...

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  3. The position vectors of the points Pa n dQ with respect to the ori...

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  4. A point O is the centre of a circle circumscribed about a triangleA ...

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  5. If G is the centroid of triangle A B C ,t h e n vec G A+ vec G B+ vec ...

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  6. Let A B C be triangle, the position vectors of whose vertices are re...

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  7. If | vec a+ vec b|<| vec a- vec b|, then the angle between vec aa...

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

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

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

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

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  12. If hat i-3 hat j+5 hat k bisects the angle between hat a and - hat ...

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  13. If 4 hat i+7 hat j+8 hat k ,2 hat i+3 hat j+4hat ja n d2 hat i+5 hat j...

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

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

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

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

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

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

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

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