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Show that the four points A ,B ,C ,D wit...

Show that the four points `A ,B ,C ,D` with position vectors ` vec a , vec b , vec c , vec d` respectively such that 3 ` vec a-2 vec b+5 vec c-6 vec d= vec0` , are coplanar. Also, find the position vector of the point of intersection of the line segments `A C` and `B Ddot`

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Show that the found points A ,B ,C ,D with position vectors vec a , vec b , vec c , vec d respectively such that 3 vec a-2 vec b+5 vec c-6 vec d= vec0 , are coplanar. Also, find the position vector of the point of intersection of the line segments A C and B Ddot

Show that the found points A ,B ,C ,D with position vectors vec a , vec b , vec c , vec d respectively such that 3 vec a-2 vec b+5 vec c-6 vec d= vec0 , are coplanar. Also, find the position vector of the point of intersection of the line segments A C and B Ddot

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. The vertices A , B , C of triangle A B C have respectively position ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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