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Dot products of a vector with vectors 3 ...

Dot products of a vector with vectors `3 hat i-5 hat k ,2 hat i+7 hat ja n d vec a= hat i+ hat j+ hat k` are respectively -1, 6 and 5. Find the vector.

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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. Find the value of c for which the vectors vec a=(clog2x) hat i-6 hat...

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  2. Let vec a= hat i+4 hat j+2 hat k ,\ \ vec b=3 hat i-\ 2 hat j+7 hat ...

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  3. Dot products of a vector with vectors 3 hat i-5 hat k ,2 hat i+7 hat j...

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  4. Let vec a , vec b , vec c be three vectors such that | vec a|=1,| vec...

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  5. (Cosine Formulae) if a ,b ,c are the lengths of the sides opposite res...

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  6. Prove that the altitudes of a triangle are concurrent.

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  7. Find the components of a unit vector which is perpendicular to the ...

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  8. If a unit vector vec a makes angle pi//3 with hat i ,pi//4 with hat...

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  9. If hat aa n d hat b are unit vectors inclined at an angle theta , t...

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  10. If two vectors vec aa n d vec b are such that |veca|=3, |vecb|=2 and...

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  11. Find | vec a|a n d| vec b|,if( vec a - vec b)dot ( vec a+ vec b) =27an...

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  12. If two vectors vec a and vec b are such that | vec a|=2,| vec b|=1...

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  13. For any two vectors vec a and vec b , prove that: | vec a+ vec b|...

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  14. Show that the projection vector vec aa n d vec b(!= vec0)(com pon e n...

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  15. Using dot product of vectors, prove that a parallelogram, whose dia...

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  16. For any three vectors vec a , vec b , vec c , prove that | vec a+ v...

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  17. Show that the angle between two diagonals of a cube is cos^(-1)(1/3)do...

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  18. Find ( vec a+3 vec b).(2 vec a- vec b), If vec a= hat i+ hat j+2 hat ...

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  19. Find the angle between two vectors vec a\ a n d\ vec b having the...

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  20. If hat i+ hat j+ hat k ,\ 2 hat i+5 hat j ,\ 3 hat i+2 hat j-3 hat k\...

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