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Find the angle between the vectors 5hat...

Find the angle between the vectors ` 5hat i+3 hat j+4 hat k` and `6 hat i-8 hat j- hat k`.

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RD SHARMA-SCALAR OR DOT PRODUCT-Solved Examples And Exercises
  1. Prove using vectors: If two medians of a triangle are equal, then it i...

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  2. Find the angle between two vectors vec a and vec b with magnit...

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  3. Find the angle between the vectors 5hat i+3 hat j+4 hat k and 6 hat i...

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  4. Find the projection of the vector 7 hat i+ hat j-4 hat k in vec a=2 ha...

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  5. For any vector vec r , prove that vec r=( vec rdot hat i) hat i+( ve...

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  6. Find veca * vec b when vec a=2 hat i+2 hat j- hat ka n d vec b=6...

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  7. Find the value of lambda so that the vectors vec a=2 hat i+lambda hat...

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  8. Find the value of p for which the vectors vec a=3 hat i+2 hat j+9 ha...

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  9. Find the values of a which the vector vec r=(a^2-4) hat i+2 hat j-(a^...

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  10. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|...

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  11. If vec a , vec b , vec c are mutually perpendicular unit vectors, fin...

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  12. Find the value of c for which the vectors vec a=(clog2x) hat i-6 hat...

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

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

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

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

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

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

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

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