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Prove that the points having position ve...

Prove that the points having position vectors ` hat i+2 hat j+3 hat k ,\ 3 hat i+4 hat j+7 hat k ,\ -3 hat i-2 hat j-5 hat k` are collinear.

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Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 hat i+ hat j+3 hat k\ a n d-4 hat i+3 hat j- hat k are collinear.

Show that the points having position vectors 6 hat i-7 hat j ,\ 16 hat i-19 hat j-4 hat k ,\ 3 hat j-6 hat k ,\ 2 hat i+5 hat j+10 hat k are not coplanar.

Show that the four points having position vectors 6 hat i-7 hat j ,16 hat i-19 hat j-4 hat k ,3 hat j-6 hat k ,2 hat i-5 hat j+10 hat k are coplanar.

Show that the points A, B, C with position vectors 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k and 3 hat i-4 hat j-4 hat k respectively, are the vertices of a right angled triangle. Also, find the remaining angles of the triangle.

Prove that the following vectors are coplanar: hat i+ hat j+ hat k ,\ 2 hat i+3 hat j- hat k\ a n d- hat i-2 hat j+2 hat k

Prove that the following vectors are coplanar: 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k\ a n d\ 3 hat i-4 hat j-4 hat k

Show that four points whose position vectors are 6 hat i-7 hat j ,\ 16 i-19 hat j-4 hat k ,\ 3 hat i-6 hat k ,\ 2 hat i-5 hat j+10\ hat k are coplanar.

Prove that the following vectors are non coplanar: 3 hat i+ hat j- hat k ,2\ hat i- hat j+7 hat k\ a n d\ 7 hat i- hat j+23 hat k

Prove that the following vectors are non-coplanar: hat i+2 hat j+3 hat k ,2\ hat i+ hat j+3 hat k\ a n d\ hat i+ hat j+ hat k

Show that the points A, B and C with position vectors, veca=3 hat i-4 hat j-4 hat k , vecb=2 hat i- hat j+ hat k and vecc= hat i-3 hat j-5 hat k respectively form the vertices of a right angled triangle.

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. If a ,\ b ,\ c are non coplanar vectors prove that the points having t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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