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Let A(2,-1), B(-1,2), C(3,1) and D(0,4)....

Let `A(2,-1), B(-1,2), C(3,1) and D(0,4)`. Show that `vec (AB)= vec (CD)`.

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the position vector of mid point of the line segment AB where A i...

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  2. If vec a= 2 hat I - 3 hat j, vec b= 3 hat i+ 2 hat j and vec c= hat i+...

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  3. Let A(2,-1), B(-1,2), C(3,1) and D(0,4). Show that vec (AB)= vec (CD).

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  4. Given four points A(2,2), B(2,4),C(1,2) and D(-1,3). Find the point P ...

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  5. Let vec a and vec b be the position vectors of the points (3,-5) and (...

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  6. ABCD is a parallelogram. If the points A , B and C are respectively : ...

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  7. ABCD is a parallelogram. If the points A , B and C are respectively : ...

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  8. ABCD is a parallelogram. If the points A , B and C are respectively : ...

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  9. ABCD is a parallelogram. If the points A , B and C are respectively : ...

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  10. If vec a= hat i- 2 hat j and vec b= 2 hat i+ 2 hat j, find a unit vect...

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  11. Using vectors, prove that the following point are collinear: (1,2),(...

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  12. Using vectors, prove that the following point are collinear: (-2,3,5...

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  13. Using vectors, prove that the following point are collinear: (7,9),(...

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  14. Using vectors, prove that the following point are collinear: (-1,2),...

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  15. Find the unknown x if the points (2,4), (7,x) and (-1,1) are collinear...

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  16. If vec alpha and vec beta are non-collinear vectors and vec a=(x+4y) v...

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  17. If the position vectors of the vertices A,B and C of triangle ABC are ...

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  18. Find the length of the vector 3 hat i+ 4 hat j- 12 hat k.

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  19. Find the components o fteh vector vec AB where A and B are the points(...

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  20. Find the coordinates of the final point of vector vec v whose componen...

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