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Find a vector of magnitude sqrt(171) whi...

Find a vector of magnitude `sqrt(171)` which is perpendicular to both of the vectors ` vec a= hat i+2 hat j-3 hat k\ a n d\ vec b=3 hat i- hat j+2 hat kdot`

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RD SHARMA ENGLISH-VECTOR OR CROSS PRODUCT -All Questions
  1. If vec c is a unit vector perpendicular to the vectors vec a\ a n d\...

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  2. Find the angle between two vectors vec a\ a n d\ vec b with magnitud...

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  3. Vectors vec a\ a n d\ vec b are such that | vec a|=3,\ | vec b|=2/3a...

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  4. Find lambda, if (2 hat i+6 hat j+14 hat k)xx( hat i-lambda hat j+7 hat...

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  5. Write the value of ( hat ixx hat j)dot hat k+( hat j xx hat k)dot hat ...

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  6. Find a vector of magnitude sqrt(171) which is perpendicular to both of...

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  7. If vec a is any vector, then ( vec axx hat i)^2+( vec axx hat j)^2+( ...

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  8. If vec adot vec b= vec adot vec c\ a n d\ vec axx vec b= vec axx vec...

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  9. The vector vec b=3 hat i+4 hat k is to be written as the sum of a ...

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  10. The unit vector perpendicular to the plane passing through point P( ha...

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  11. If a ,\ b represent the diagonals of a rhombus, then vec axx vec b= v...

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  12. Vectors vec a\ a n d\ vec b are inclined at angel theta=120^0 . If |...

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  13. If vec a= hat i+ hat j- hat k ,\ vec b=- hat i+2 hat j+2 hat k\ a n ...

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  14. A unit vector perpendicular to both hat i+ hat j\ a n d\ hat j+ hat ...

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  15. If vec a=2 hat i-3 hat j- hat k\ a n d\ b= hat i+4 hat j-2 hat k ,\ t...

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  16. If hat i ,\ hat j ,\ hat k\ are unit vectors, then hat idot hat j...

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  17. If theta is the angle between the vectors 2 hat i-2 hat j+4 hat k\ a n...

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  18. If | vec axx vec b|=4,\ vec adot vec b =2,\ t h e n\ | vec a|^2| vec b...

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  19. The value of hat i .( hat jxx hat k)+ hat j.( hat i+ hat k)+ hat k.(...

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  20. If theta is the angle between any two vectors vec a and vec b , ...

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