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Find the unit vector in the direction ...

Find the unit vector in the direction of vector ` vec P Q` , where `P` and `Q` are the points (1,2,3) and (4,5,6), respectively.

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Find the position vector from the origin O to the centroid of the tria...

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

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

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

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

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

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  7. 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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  8. 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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  9. Two vectors hat j + hat k and 3 hat i - hat j + 4 hat k represents t...

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

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

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

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

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

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

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

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

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  18. Prove that the points having position vectors hat i+2 hat j+3 hat k ,...

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  19. If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 ha...

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  20. If vec a , vec b are two non-collinear vectors, prove that the poi...

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