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If a\ a n d\ b ar non collinear vector s...

If `a\ a n d\ b` ar non collinear vector such that `x_1 vec a+y_1 vec b=x_2 vec a+y_2 vec b` , then prove that `x_1=x_2a n d\ y_1=y_2dot`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Show that the points whose position vectors are as given below are ...

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