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Find the position vector of a point R w...

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are ` hat i+2 hat j- hat k`and `- hat i+ hat j+ hat k`respectively, in the ratio 2 : 1(i) internally (ii) externally

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 hat...

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  2. Show that the four points A ,B , Ca n dD with position vectors ...

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  3. Find the position vector of a point R which divides the line joining ...

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  4. Five forces vec A B , vec A C , vec A D , vec A E and vec A F act...

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  5. If vec a= hat i+ hat j+ hat k , vec b=4 hat i-2 hat j+3 hat k and ve...

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  6. Answer the following as true or flase: vec a and vec b are collin...

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  7. Find the coordinates of the tip of the position vector which is equ...

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  8. Express vec A B in terms of unit vectors hat i and hat j , wh...

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  9. If the position vectors of the points A(3,4),B(5,-6) and (4,-1) are v...

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  10. A B C D is parallelogram. If the coordinates of A , B , C are (-2,-...

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  11. If the position vector of a point (-4,-3) be vec a , find |a| .

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  12. Find a vector of magnitude 4 units which is parallel to the vector ...

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  13. If the position vector vec a of a point (12 ,n) is such that | vec...

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  14. Show that the sum of three vectors determined by the medians of a t...

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  15. A B C D is parallelogram and P is the point of intersection of its dia...

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  16. If O is a point in space, A B C is a triangle and D , E , F are ...

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  17. Show that the point 2 hat i ,- hat i-4 hat j and - hat i+4 hat j fr...

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  18. If vec a be the position vector whose tip is (5,-3), find the c...

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  19. Show that the line segments joining the mid-points of opposite side...

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  20. A B C D are four points in a plane and Q is the point of interse...

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