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If ` vec a. vec a=0` and ` vec a. vec b=0,` what can you conclude about the vector ` vec b ?`

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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If vec a , vec b are two vectors such that | vec a+ vec b|=| vec b...

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  2. If vec c is perpendicular to both vec a and vec b , then prov...

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  3. If vec a. vec a=0 and vec a. vec b=0, what can you conclude about th...

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  4. If vec a , vec b , vec c are three non coplanar vectors such that ...

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  5. If a vector vec a is perpendicular to two non-collinear vector vec b...

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  6. If vec a+ vec b+ vec c= vec0 , show that the angle theta between the ...

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  7. Let vec u , vec v and vec w be vector such vec u+ vec v+ vec w...

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  8. Let vec a=x^2 hat i+2 hat j-2 hat k , vec b= hat i- hat j+ hat k and ...

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  9. 12). Show that the vector hat i+ hat j+ hat k is equally inclined w...

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  10. If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-4 ha...

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  11. If vec p=5 hat i+lambda hat j-3 hat k and vec q= hat i+3 hat j-5 hat...

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  12. For any two vectors vec a and vec b , show that : ( vec a+ vec b)dot...

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  13. Show that the vectors vec a=1/7(2 hat i+3 hat j+6 hat k), vec b=1/7(3...

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  14. Let vec a=5 hat i- hat j+7 hat k and vec b= hat i- hat j+lambda hat ...

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  15. If vec a and vec b are two vectors of the same magnitude inclined ...

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

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  18. Show that the vectors vec a=3 hat i-2 hat j+ hat k , vec b= hat i+3 h...

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  19. (Projection Formulae) if a ,b ,c are the lengths of the sides opposite...

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  20. Prove using vectors: If two medians of a triangle are equal, then it i...

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