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Find the unit vector in the direction...

Find the unit vector in the direction of `3 hat i+4 hat j-12 hat kdot`

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Give a condition that three vectors vec a , vec b and vec c from ...

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  2. If vec a and vec b are two non-collinear vectors having the same ...

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  3. Find the unit vector in the direction of 3 hat i+4 hat j-12 hat kdo...

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  4. The vertices A , B , C of triangle A B C have respectively position ...

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  5. Find a unit vector parallel to the vector hat i+sqrt(3) hat j

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  6. Show that the four points A ,B ,C ,D with position vectors vec a , ve...

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  7. If vec a , vec b are the position vectors of A , B respectively, find...

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  8. Let vec a , vec b , vec c , vec d be the position vectors of the four...

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  9. 6). If vec P Q=3 hat i+2 hat j- hat k and the coordinates of P are ...

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

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  11. If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and ...

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  12. Can a vector have direction angles 45^0,60^0,120^0

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  13. A vector makes an angle of pi/4 with each of x-axis and y-axis F...

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

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  15. If vec A O+ vec O B= vec B O+ vec O C , prove that A , B , C are coll...

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

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  17. Show that the four points A ,B , Ca n dD with position vectors ...

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  18. Find the position vector of a point R which divides the line joining ...

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  19. Five forces vec A B , vec A C , vec A D , vec A E and vec A F act...

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  20. 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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