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A vector makes an angle of pi/4 with...

A vector makes an angle of `pi/4` with each of x-axis and y-axis Find the angle made by it with the z-axis.

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. 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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  2. Can a vector have direction angles 45^0,60^0,120^0

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

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

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

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

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

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

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

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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. Answer the following as true or flase: vec a and vec b are collin...

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  12. Find the coordinates of the tip of the position vector which is equ...

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  13. Express vec A B in terms of unit vectors hat i and hat j , wh...

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  14. If the position vectors of the points A(3,4),B(5,-6) and (4,-1) are v...

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  15. A B C D is parallelogram. If the coordinates of A , B , C are (-2,-...

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  16. If the position vector of a point (-4,-3) be vec a , find |a| .

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  17. Find a vector of magnitude 4 units which is parallel to the vector ...

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  18. If the position vector vec a of a point (12 ,n) is such that | vec...

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  19. Show that the sum of three vectors determined by the medians of a t...

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  20. A B C D is parallelogram and P is the point of intersection of its dia...

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