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Show that the points A(1, -2, -8), B(5, ...

Show that the points `A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7)` are collinear, and find the ratio in which B divides AC.

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Show that the points (3,4), (-5, 16), (5,1) are collinear.

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

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

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

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  6. Using vector method, prove that the following points are collinear: A...

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  7. Using vector method, prove that the following points are collinear: A...

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  8. Using vector method, prove that the following points are collinear: A...

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  9. Using vector method, prove that the following points are collinear: ...

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  10. If a ,\ b ,\ c are non zero non coplanar vectors, prove that the follo...

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  11. Let vec a , vec ba n d vec c , be non-zero non-coplanar vectors. Prov...

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  12. Show that the four points having position vectors 6 hat i-7 hat j ,...

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  13. Prove that the following vectors are coplanar: 2 hat i- hat j+ hat k ,...

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  14. Prove that the following vectors are coplanar: hat i+ hat j+ hat k ,\...

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  15. Prove that the following vectors are non coplanar: 3 hat i+ hat j- hat...

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  16. Prove that the following vectors are non-coplanar: hat i+2 hat j+3 ha...

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  17. If vec a ,\ vec b ,\ vec c are non coplanar vectors, prove that the...

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  18. If vec a ,\ vec b ,\ vec c are non coplanar vectors, prove that the...

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  19. Prove that a necessary and sufficient condition for three vectors ...

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

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