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If with reference to a right handed syst...

If with reference to a right handed system of mutually perpendicular unit vectors ` hat i ,\ hat j ,\ hat k` we have ` vecalpha=3 hat i- hat j ,\ a n d\ vecbeta=2 hat i+ hat j-3 hat kdot` Express ` vecbeta` in the form ` vecbeta= vecbeta_1+ vecbeta_2,\ w h e r e\ vecbeta_1` is parallel to ` vecalpha\ a n d\ vecbeta_2` is perpendicular to ` vecalphadot`

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If vecalpha=3 hat i+4 hat j+5 hat k\ a n d\ vecbeta=2 hat i+ hat j-4 hat k , then express vecbeta in the form of vecbeta= vecbeta_1+ vecbeta_2w h e r e\ vecbeta_1 is parallel to vecalpha\ a n d\ vecbeta_2 is perpendicular to vecalphadot

If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-4 hat k , then express vecbeta in the form of vecbeta= vecbeta_1+ vecbeta_2, where vecbeta_1 is parallel to vecalpha and vecbeta_2 is perpendicular to vecalpha .

If with reference to the right handed system of mutually perpendicular unit vectors hat i , hat j and hat k , vecalpha=3 hat i- hat j , vecbeta=2 hat i+ hat j-3 hat k , then express vecbeta in the from vecbeta=vecbeta_1+ vecbeta_2 , where vecbeta_1 is parallel to vecalpha and vecbeta_2 is perpendicular to vecalpha

If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-\ 4 hat k , then express vecbeta in the form vecbeta_1+ vecbeta_2, where vecbeta_1\ is parallel to vecalpha and vecbeta is perpendicular to vecalpha .

Let vecalpha = 3hati + hatj and beta= 2hati - hatj + 3hatk . If vecbeta = vecbeta_(1) - vecbeta_(2) , where vecbeta_(1) is parallel to vecalpha and vecbeta_(2) is perpendicular to vecalpha , then vecbeta_(1) xx vecbeta_(2) is equal to:

Find the sum of vectors vec a= hat i-2 hat j+ hat k ,\ vec b=-2 hat i+4 hat j+5 hat k\ a n d\ vec c= hat i-6 hat j-7 hat kdot

Write a unit vector in the direction of the sum of the vectors vec a=2 hat i+2 hat j-5 hat k\ a n d\ vec b=2 hat i+ hat j-7 hat kdot

Find the unit vector in the direction of vec a+ vec b ,\ if\ vec a=2 hat i- hat j+2 hat k\ a n d\ vec b=- hat i+ hat j- hat kdot

Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot

Find vec a.( vec bxx vec c)\ if\ vec a=2 hat i+ hat j+3 hat k ,\ vec b=- hat i+2 hat j+ hat k\ a n d\ vec c=3 hat i+ hat j+2 hat kdot

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. Show that the vector 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k ,...

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  2. Show that the points A, B, C with position vectors 2 hat i- hat j+ ...

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  3. If with reference to a right handed system of mutually perpendicula...

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  4. Find the value of x for which the angle between the vectors vec a=2x^...

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  5. If l ,\ m ,\ n are scalars and vec a ,\ vec b ,\ vec c are vectors,...

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  6. If vec a ,\ vec b ,\ vec c are three mutually perpendicular vectors...

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  7. Let vec a ,\ vec b ,\ vec c be three vectors of magnitudes 3, 4 and...

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  8. If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b...

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  9. Three vectors vec a ,\ vec b ,\ vec c satisfy the condition vec a+...

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  10. Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b...

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  11. Find vec adot vec b when: vec a= hat j+2 hat k\ a n d\ vec b=2 hat ...

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  12. Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i...

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  13. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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  14. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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  15. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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  16. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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  17. If vec a\ a n d\ vec b are two vectors such that | vec a|=4,\ | vec ...

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  18. If vec a= i- j and vec b=- j+2k ,find (vec a-2 vec b)dot( vec a+ v...

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  19. Find the angle between the vectors vec a\ a n d\ vec b where: vec a...

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  20. Find the angle between the vectors vec a\ a n d\ vec b where: vec a...

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