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Prove that ( vec a- vec b)dot{( vec b- v...

Prove that `( vec a- vec b)dot{( vec b- vec c)xx( vec c- vec a)}=0`

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RD SHARMA ENGLISH-SCALAR TRIPLE PRODUCT -All Questions
  1. Show that four points whose position vectors are 6 hat i-7 hat j ,\...

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  2. Find the value of lambda for which the four points with position ve...

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  3. Prove that ( vec a- vec b)dot{( vec b- vec c)xx( vec c- vec a)}=0

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  4. Let -> a= hat i+ hat j+ hat k ,"" -> b= hat i""""a n d"" -> c=c1 hat ...

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  5. Find lambda for which the points A(3,\ 2,\ 1),\ B(4,\ lambda,\ 5),\ C(...

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  6. Write the value of [2 hat i\ 3 hat j\ 4 hat k]

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  7. Write the value of [ hat i+ hat j\ hat j+ hat k\ hat k+ hat i]

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  8. Write the value of [ hat i- hat j\ hat j- hat k\ hat k- hat i]

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  9. Find the values of a for which are vectors vecalpha= hat i+2 hat j...

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  10. Find the volume of the parallepiped with its edges represented by t...

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  11. If vec a ,\ vec b ,\ are non collinear vectors, then find the va...

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  12. For any two vectors vec a\ a n d\ vec b writhe the value of ( vec ad...

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  13. If [3 vec a+7 vec b\ vec c\ vec d]=lambda[ vec a\ vec c\ vec d]+mu...

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  14. Find vec a.( vec bxx vec c)\ if\ vec a=2 hat i+ hat j+3 hat k ,\ ve...

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  15. If vec a in the plane of vectors vec b\ a n d\ vec c then which o...

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  16. The value of [ vec a- vec b ,\ vec b- vec c ,\ vec c- vec a],\ w h e...

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  17. If vec a , vec b ,\ vec c are three non coplanar mutually perpend...

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  18. For any three vectors vec a ,\ vec b ,\ vec c the expression ( vec ...

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  19. If a ,\ b ,\ c are non coplanar vectors then ( vec adot( vec bxx ve...

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  20. Let vec a=a1 hat i+a2 hat j+a2 hat k , vec b=b1 hat i+a2 hat j+b2 hat...

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