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Find a vector magnitude 5 units, and ...

Find a vector magnitude 5 units, and parallel to the resultant of the vectors ` vec a=2 hat i+3 hat j- hat k` and ` vec b= hat i-2 hat j+ hat kdot`

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Find a vector of magnitude 5 units and parallel to the resultant of the vectors vec a=2hat i +3hat j -hat k and vec b=hat i-2hat j+ hat k

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Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on the vector vec b=2 hat i+2 hat j+ hat k .

Find a vector of magnitude sqrt(171) which is perpendicular to both of the vectors vec a= hat i+2 hat j-3 hat k\ a n d\ vec b=3 hat i- hat j+2 hat kdot

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. 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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  2. Two vectors hat j + hat k and 3 hat i - hat j + 4 hat k represents t...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If the points A(m ,-1),\ B(2,1)a n d\ C(4,5) are collinear find the va...

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  16. Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8...

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  17. Show that the points (3,4), (-5, 16), (5,1) are collinear.

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  18. If the vectors vec a=2 hat i-3 hat j\ a n d\ vec b=-6 hat i+m hat j ...

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  19. Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are col...

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  20. Using vectors show that the points A(-2,3,5), B(7,0,-1), C(-3,-2,-5) a...

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