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Show that the vectors vec a - vec b, vec...

Show that the vectors `vec a - vec b, vec b - vec c , vec c - vec a` are coplaner.

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RD SHARMA ENGLISH-SCALAR TRIPLE PRODUCT -All Questions
  1. For any three vectors a ,\ b ,\ c prove that [ vec a+ vec b\ vec b...

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  2. Show that vectors vec a ,\ vec b ,\ vec c are coplanar if vec a+ v...

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  3. Show that the vectors vec a - vec b, vec b - vec c , vec c - vec a are...

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  4. What can you conclude about four non zero vectors vec a ,\ vec b ...

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  5. Evaluate the following: [ hat i\ hat j\ hat k]+[ hat j\ hat k\ ...

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  6. Evaluate : [ hat i hat j hat k]+[ hat j hat k hat i]+[ hat k hat i...

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  7. Find [ vec a\ vec b\ vec c] , when : vec a=2 hat i-3 hat j ,\ vec ...

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  8. Find [ vec a\ vec b\ vec c] , when : vec a= hat i-2 hat j+3 hat k ,...

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  9. Find the volume of the parallelepiped whose coterminous edges are r...

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  10. Find the volume of the parallelepiped whose coterminous edges are r...

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  11. Find the volume of the parallelepiped whose coterminous edges are r...

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  12. Find the volume of the parallelepiped whose coterminous edges are r...

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  13. Show that each of the following triads of vectors are coplanar: vec...

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  14. Show that each of the following triads of vectors are coplanar: vec...

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  15. Show that each of the following triads of vectors are coplanar: ve...

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  16. Find the value of lambda so that the following vectorts are coplana...

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  17. Find the value of lambda so that the following vectorts are coplana...

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  18. Find the value of lambda so that the following vectorts are coplana...

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  19. Find the value of lambda so that the following vectorts are coplanar...

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  20. Show that the points having position vectors 6 hat i-7 hat j ,\ 16 ...

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