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Using vectors, prove that the following ...

Using vectors, prove that the following point are collinear:
`(1,2),(3,8),(7,20)`

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. ABCD is a parallelogram. If the points A , B and C are respectively : ...

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

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

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

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

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

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

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

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

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

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

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  13. Find the unit vector in the direction of 3 hat i- 6 hat j- 2 hat k.

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  14. Find the unit vector in the direction of 12 hat i- 5 hat k.

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  15. Find a unit vector parallel to the sum of the vector vec a= hat i+ hat...

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  16. Show that the points A,B and C whose position vectors are repectively ...

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  17. Find the unit vector in the direction of sum of vectors -2 hat i- 3 ha...

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  18. If vec AB= a underset 1 hat i+ a underset 2 hat j+ a underset hat k an...

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  19. Find a unit vector in the direction of vec a- 2 vec b+ 3 vec c if vec ...

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  20. Find the points of trisection of [PQ] if the position vectors of P and...

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