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If the vertices A ,\ B ,\ C of a triangl...

If the vertices `A ,\ B ,\ C` of a triangle ABC are the point with position vectors `a_1 hat i+a_2 hat j+a_3 hat k ,\ b_1 hat i+b_2 hat j+b_3 hat k ,\ c_1 hat i+c_2 hat j+c_3 hat k` respectively, what are the vectors determined by its sides? Find the length of these vectors.

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. If vec P Q=3 hat i+2 hat j- hat k and the coordinates of P are (1,-1,...

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  2. Prove that the points hat i- hat j ,4 hat i-3 hat j+ hat k and 2 hat ...

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  3. If the vertices A ,\ B ,\ C of a triangle ABC are the point with posit...

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  4. Find the position vector from the origin O to the centroid of the tria...

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  5. Find the position vector of a point R which divides the line joinin...

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  6. Find the unit vector in the direction of vector vec P Q , where P a...

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  7. Show that the points A(2 hat i- hat j+ hat k), B( hat i-3 hat j-5 h...

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  8. Find the position vector of the mid point of the vector joining the ...

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  9. Find the value of x for which x\ ( hat i+ hat j+ hat k) is a unit vect...

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  10. 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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  11. If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d...

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  12. Two vectors hat j + hat k and 3 hat i - hat j + 4 hat k represents t...

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  13. Find a vector magnitude 5 units, and parallel to the resultant of t...

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  14. If a\ a n d\ b ar non collinear vector such that x1 vec a+y1 vec b=x2 ...

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  15. Show that the points with position vectors vec a-2 vec b+3 vec c ,\ -...

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  16. Show that the three points A(-2, 3,5); B(1, 2, 3) and C(7, 0, -1) are ...

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  17. The position vectors of the points P ,\ Q ,\ R are hat i+2 hat j+3 ha...

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  18. Show that the point A ,B ,C with position vectors vec a-2 vec b...

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  19. If a ,\ b ,\ c are non coplanar vectors prove that the points having t...

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  20. If a ,\ b ,\ c are non coplanar vectors prove that the points having t...

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