Home
Class 12
MATHS
If vec a\ a n d\ vec b are two vectors...

If ` vec a\ a n d\ vec b` are two vectors such that ` vec adot vec b=6,\ | vec a|=3\ a n d\ | vec b|=4.` Write the projection of ` vec a\ on\ vec bdot`

Text Solution

Verified by Experts

Given: `vec{a} cdot vec{b}=6 and |vec{b}|=4`

The projection of `vec{a}` on `vec{b}` is

`frac{vec{a} cdot vec{b}}{|vec{b}|^{2}}`

`Rightarrow frac {6}{4}`

`Rightarrow frac {3}{2}`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|197 Videos
  • SCALAR TRIPLE PRODUCT

    RD SHARMA|Exercise Solved Examples And Exercises|59 Videos

Similar Questions

Explore conceptually related problems

If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=3\ a n d\ vec adot vec b=1, find the angle between.

If vec a and vec b are two vectors such that |vec a|=4,|vec b|=3 and vec a*vec b=6. Find the angle between vec a and vec b

If vec a and vec b are two vectors such that |vec a|=4,|vec b|=3 and vec avec b=6. Find the angle between vec a and vec b

Vectors vec a\ a n d\ vec b are such that | vec a|=3,\ | vec b|=2/3a n d\ ( vec axx vec b) is a unit vector. Write the angle between vec a\ a n d\ vec bdot

If vec a\ a n d\ vec b are unit vectors then write the value of | vec axx vec b|^2+( vec adot vec b)^2dot

If vec a and vec b are two vectors such that |vec a+vec b|=|vec a|, then prove that vector 2vec a+vec b is perpendicular to vector vec b

If vec a\ a n d\ vec b are unit vectors such that vec axx vec b is also a unit vector, find the angle between vec a\ a n d\ vec bdot

If vec a ,\ vec b ,\ vec c are three vectors such that vec adot\ vec b= vec adot\ vec c and vec a\ xx\ vec b= vec a\ xx\ vec c ,\ vec a\ !=0 , then show that vec b= vec c .

If vec a and vec b are two vectors,such that vec a*vec b<0 and |vec a*vec b|=|vec a xxvec b|, then the angle between vectors vec a and vec b is pi b.7 pi/4 c.pi/4d.3 pi/4

Find |vec a-vec b|, if two vectors vec a and vec b are such that |vec a|=2, and |vec b|=3 and |vec a*vec b|=4

RD SHARMA-SCALAR OR DOT PRODUCT-Solved Examples And Exercises
  1. In a quadrilateral A B C D prove that A B^2+B C^2+C D^2+D A^2=A C^2+B ...

    Text Solution

    |

  2. What is the angle between vectors vec a\ a n d\ vec b with magnitude...

    Text Solution

    |

  3. If vec a\ a n d\ vec b are two vectors such that vec adot vec b=6,\...

    Text Solution

    |

  4. Find he cosine of the angle between the vectors 4 hat i-3 hat j+3 hat ...

    Text Solution

    |

  5. If the vectors 3 hat i+m hat j+ hat k\ a n d\ 2 hat i- hat j-8 hat k a...

    Text Solution

    |

  6. If the vectors 3 hat i-2 hat j-4 hat k\ a n d\ 18 hat i-12 hat j-m hat...

    Text Solution

    |

  7. If vec a\ a n d\ vec b are vectors of equal magnitude, write the val...

    Text Solution

    |

  8. If vec a\ a n d\ vec b are two vectors such that ( vec a+ vec b)dot(...

    Text Solution

    |

  9. For any two vectors vec a\ a n d\ vec b write when | vec a+ vec b|=|...

    Text Solution

    |

  10. For any two vectors vec a\ a n d\ vec b write when | vec a+ vec b|=|...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If vec b is a unit vector such that ( vec a+ vec b)dot( vec a- vec b...

    Text Solution

    |

  14. If hat a ,\ hat b are unit vector such that\ hat a+ hat b is a unit...

    Text Solution

    |

  15. If | vec a|=2,\ | vec b|=5\ a n d\ vec adot vec b=2,\ find\ | vec a- ...

    Text Solution

    |

  16. If vec a= hat i- hat j\ a n d\ vec b=- hat j+ hat k find the project...

    Text Solution

    |

  17. For any two non zero vectors write the value of (| vec a+ vec b|^2+| v...

    Text Solution

    |

  18. Writhe the projections of vec r=3 hat i-4 hat j+12 hat k ion the coor...

    Text Solution

    |

  19. Writhe the component of vec b along vec adot

    Text Solution

    |

  20. Writhe the value of ( vec adot hat i) hat i+( vec adot hat j) hat j+( ...

    Text Solution

    |