Home
Class 12
MATHS
If vec b is a non-zero vector, then proj...

If `vec b` is a non-zero vector, then projection of `vec a` on `vec b` is

A

`vec a* hat b`

B

`(veca* `vecb)/|vec b|^2`

C

`vec a*vec b`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

If vec a is a non-zero vector, then (1/|vec a|) vec a is a..........

If vec a is perpendicular to vec b and vec r is non-zero vector such that p vec r+( vec rdot vec a) vec b= vec c , then vec r= vec c/p-(( vec adot vec c) vec b)/(p^2) (b) vec a/p-(( vec cdot vec b) vec a)/(p^2) vec a/p-(( vec adot vec b) vec c)/(p^2) (d) vec c/(p^2)-(( vec adot vec c) vec b)/p

If vec a, vecb are non-collinear vectors, then vec a, vecb and vec a +vecb are...........

Let the vectors vec a and vec b be such that | vec a|=3 and | vec b|=(sqrt(2))/3, then ,vec axx vec b is a unit vector, if the angel between vec a and vec b is?

Let the vectors vec and vec b be such that |vec a|= 3 and |vec b|= sqrt2/3 , then vec a xx vec b is a unit vector if the angle between vec a and vec b is

If vec r* vec a =0 = vec r* vec b =0 and also vec r* vec c =0 for some non-zero vector vec r , then the value of vec a*(vec b xx vec c) is........

If vectors vec a and vec b , are such that |vec a| =3,|vec b| =2/3 and vec a xx vec b is a unit vector, then find the angle between vec a and vec b .

If vec a and vec b are any two vectors, then prove that |quad vec a+ vec b|^2 + |quad vec a- vec b|^2= 2|quad vec a|^2 + 2|quad vec b|^2 .

If vec a and vec b are non-zero vectors and the angle θ between them is given by cos θ= k/(|vec a||vec b|) then write the value of k.

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. The value of λ for which the vectors vec a= 2 hat i+λ hat j+hat kand v...

    Text Solution

    |

  2. Find the angle between the vectors hat i-hat j and hat j-hat k.

    Text Solution

    |

  3. The vector with initial point P(2,-3,5) and terminal point Q(3,-4,7) i...

    Text Solution

    |

  4. If vec a * vec a=0 thenvec a is a

    Text Solution

    |

  5. If vec a and vec b are proper vectors such that vec b= λ veca for some...

    Text Solution

    |

  6. For any two vectors vec a and vec b, which of the following is not tru...

    Text Solution

    |

  7. The area of the parallelogram whose adjacent sides are hat i+hat k and...

    Text Solution

    |

  8. If the vectors from the origin to the points A and B are . vec a= a ha...

    Text Solution

    |

  9. Given |quad vec a|=10,|quad vec b|=2 and vec a *vec b=12, find | vec a...

    Text Solution

    |

  10. Direction cosines of hat i are ‘

    Text Solution

    |

  11. The vectors -2 hat i+hat j +2 hatk, hat i+ λ hat j- hatk, 2hat i- hat...

    Text Solution

    |

  12. If vec a,vec b,vec c are unit vectors such that vec a+vec b+ vec c= ve...

    Text Solution

    |

  13. If |vec a|=8, |vec b|=3 and |vec axx vec b|=12, then the value of vec ...

    Text Solution

    |

  14. If the vectors 2hat j +hat k and 3 hat i- hat j +4 hatk represent the ...

    Text Solution

    |

  15. (hat i+hatj) xx (hat j+ hatk)*(hat k+ hat i) is equal to

    Text Solution

    |

  16. If vec a, vec b and sqrt(3)veca-vec b are Unit Vectors, then the angle...

    Text Solution

    |

  17. If |vec a|=8, |vec b|=3 and |vec axx vec b|=12, then the value of vec ...

    Text Solution

    |

  18. If ABC is any triangle and D is the midpoint of side [BC], then vec (...

    Text Solution

    |

  19. If vec b is a non-zero vector, then projection of vec a on vec b is

    Text Solution

    |

  20. If vec a is a unit vector Perpendicular to the vectors vec b= hat i -h...

    Text Solution

    |