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A B C D is parallelogram. If the coor...

`A B C D` is parallelogram. If the coordinates of `A , B , C` are `(-2,-1),(3,0)` and `(1,-2)` respectively, find the coordinates of `Ddot`

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To find the coordinates of point D in the parallelogram ABCD, we can use the property that the diagonals of a parallelogram bisect each other. This means that the midpoint of diagonal AC will be the same as the midpoint of diagonal BD. ### Step-by-step Solution: 1. **Identify the Coordinates of Points A, B, and C:** - A = (-2, -1) - B = (3, 0) - C = (1, -2) ...
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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Express vec A B in terms of unit vectors hat i and hat j , wh...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. If vec aa n d vec b are non-collinear vectors, find the value of x fo...

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  15. The projection of a vector on the coordinate axes are (6,-3,2) Find ...

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  16. If vec a , vec b, vec c are three non- null vectors such that any tw...

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  17. Show that the vectors 2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n...

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  18. Show that the points A ,B ,C with position vectors -2 vec a+3 vec b+5 ...

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  19. Prove that the line joining the mid-points of the diagonals of a trape...

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  20. Prove that the segment joining the middle points of two non-paralle...

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