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If two vectors vec a\ a n d\ vec b are...

If two vectors ` vec a\ a n d\ vec b` are such that `| vec a|=2,\ | vec b|=1\ a n d\ vec adot vec b=1,` then find rthe value of `(3 vec a-5 vec b)dot'(2 vec a+7 vec b)'dot

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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If vec a=5 hat i- hat j-3 hat k\ a n d\ vec b= hat i+3 hat j-5 hat k...

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  2. A unit vector vec a makes angles pi/4\ a n d\ pi/3 with hat i\ a n d...

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  3. If two vectors vec a\ a n d\ vec b are such that | vec a|=2,\ | vec ...

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  4. If vec a\ is a unit vector, then find | vec x| in each of the follow...

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  5. If vec a\ is a unit vector, then find | vec x| in each of the follow...

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  6. Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)...

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  7. Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)...

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  8. Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)...

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  9. Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=5\ a n d\ vec adot ve...

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  10. Find | vec a- vec b|,\ if:| vec a|=3,\ | vec b|=4\ a n d\ vec adot ve...

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  11. Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=3\ a n d\ vec adot ve...

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  12. Find the angle between two vectors vec a\ a n d\ vec b ,\ if:| vec a...

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  13. Express the vector vec a=5 hat i-2 hat j+5 hat k as the sum of two ve...

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  14. If vec a\ a n d\ vec b are two vectors of the same magnitude incline...

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  15. Express 2 hat i- hat j+3 hat k as the sum of a vector parallel a...

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  16. Decompose the vector 6 hat i-3 hat j-6 hat k into vectors which are pa...

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  17. Let vec a=5 hat i- hat j+7 hat k\ a n d\ vec b= hat i- hat j+lambda ...

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  18. If vec adot vec a=0\ a n d\ vec adot vec b=0\ what can you conclud...

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  19. If vec c is perpendicular to both vec a\ a n d\ vec b , then prove ...

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  20. If | vec a|= a\ a n d\ | vec b|=b, prove that ( vec a/(a^2)- vec b/(b^...

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