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If the position vectors of the vertices A,B and C of `triangle ABC` are respectively `vec 0`, `-20 hat i+ 15 hat j` and `36 hat I + 15 hat j`. Find the P.V. of the incentre of the triangle.

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PRADEEP PUBLICATION-VECTORS-EXERCISE
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  2. If vec alpha and vec beta are non-collinear vectors and vec a=(x+4y) v...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Show that the point A,B,C and D whose position vectors are respectivel...

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  16. The position vectors of the points A, B, C and D are respectively 4 ha...

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  17. Find the magnitude and components of the vector 2(-1,0,3) + 3(1,1,2)-(...

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  18. Prove that the points A (1,2,3), B(2,3,1) and C(3,1,2) are the vertice...

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  19. Prove that the points (1,1,1),(-2,4,1),(-1,5,5) and (2,2,5) taken in o...

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  20. If the points (-1,-1,2),(2,m,5) and (3,11,6) are collinear, find the v...

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