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Show that the points whose position vectors are as given below are collinear: `2 hat i+ hat j- hat k ,\ 3 hat i-2 hat j+ hat k\ a n d\ hat i+4 hat j-3 hat k` `3 hat i-2 hat j+4 hat k ,\ hat i+ hat j+ hat k\ a n d-\ hat i+4 hat j-2 hat k`

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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 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.

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

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

Evaluate : [ hat i hat j hat k]+[ hat j hat k hat i]+[ hat k hat i hat j] [2 hat i hat j hat k]+[ hat i hat k hat j]+[ hat k hat j2 hat i]

Evaluate : [ hat i hat j hat k]+[ hat j hat k hat i]+[ hat k hat i hat j] [2 hat i hat j hat k]+[ hat i hat k hat j]+[ hat k hat j2 hat i]

Prove that point hat i +2 hat j - 3 hat k ,2 hat i - hat j + hat k and 2 hat i + 5 hat j - hat k from a triangle in space.

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.

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.

Vectors perpendicular to hat i- hat j- hat k and in the plane of hat i+ hat j+ hat ka n d- hat i+ hat j+ vec k are hat i+ hat k b. 2 hat i+ hat j+ hat k c. 3 hat i+2 hat j+ hat k d. -4 hat i-2 hat j-2 hat k

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
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  3. Show that the points whose position vectors are as given below are ...

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

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

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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: ...

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

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

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

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

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

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

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

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

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

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

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

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  19. The direction cosines of a vector vecr, which is equally inclined to O...

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

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