Home
Class 12
MATHS
Projection of vector veca on other vecto...

Projection of vector `veca` on other vector `vecb` is equal to :

A

1) `veca*vecb`

B

2) `veca*((vecb)/(|vecb|))`

C

3) `(veca*vecb)/(|vecb|)`.

D

4) All of these.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

If the projection of vecb on veca is twice the projection of veca on vecb , then |vecb|-|veca| is equal to :

The vectors veca and vecb are not perpendicular and vecc and vecd are two vectors satisfying vecbxxvecc=vecbxxvecd and veca*vecd=0 . Then the vector vecd is equal to :

The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb=hati+2hatj+hatk is :

If veca and vecb are othogonal unit vectors, then for a vector vecr non - coplanar with veca and vecb vector vecr xx veca is equal to

Find the projection of the vector veca = 2veci + 3vecj + 2veck on the vector vecb = veci + 2vecj + veck

state whether it is true or false: projection of a vector veca on vecb is veca.vecb

If veca and vecb are vectors such that |veca|=2,|vecb|=3 and veca*vecb=4 , then |veca-vecb| is equal to :

If veca and vecb are two vectors such that |veca+vecb|=|veca| , then prove that the vector 2veca+vecb is perpendicular to vector vecb .

MODERN PUBLICATION-VECTORS-Exercise
  1. Let the vectors veca and vecb be such that |veca|=3 and |vecb|=(sqrt2)...

    Text Solution

    |

  2. For a unit vector veca if (x-veca)*(x+veca)=12, then |x| is equal to :

    Text Solution

    |

  3. Projection of vector veca on other vector vecb is equal to :

    Text Solution

    |

  4. Which of the following is true :

    Text Solution

    |

  5. The angle between the vectors veca and vecb such that |veca|=|vecb|=sq...

    Text Solution

    |

  6. If the points A and B are (1,2,-1) and (2,1,-1) respectively, then vec...

    Text Solution

    |

  7. If veca and vecb are vectors such that |veca|=2,|vecb|=3 and veca*vecb...

    Text Solution

    |

  8. The projection of hati-hatj+hatk on hati-hatj is :

    Text Solution

    |

  9. The angle between veca and vecb if vecaxxvecb=veca*vecb is :

    Text Solution

    |

  10. The value of 'lambda' for which the vectors : veca=2hati+3hatj-hatk an...

    Text Solution

    |

  11. If p(hati+hatj+hatk) is a unit vector, then p is equal to :

    Text Solution

    |

  12. The value of 'lambda' for which the vectors : veca=3hati+hatj-2hatk an...

    Text Solution

    |

  13. If veca=2hati+3hatj-5hatk and vecb=hati+hatj-hatk, then veca*vecb is :

    Text Solution

    |

  14. Magnitude of the vector vec(PQ), joining the points P(2,3,0) and Q(1,-...

    Text Solution

    |

  15. If veca*vecb=-|veca|*|vecb|, then theta=,

    Text Solution

    |

  16. If veca is a non-zero vector of magnitude 'a' and 'lambda' is a non-ze...

    Text Solution

    |

  17. The value of hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) is ...

    Text Solution

    |

  18. The projection of veca=2hati-hatj+hatk on vecb=hati-2hatj+hatk is equa...

    Text Solution

    |

  19. If |veca*vecb|=|vecaxxvecb|, then the angle between veca and vecb is :

    Text Solution

    |

  20. Let veca=hati-2hatj+3hatk. If vecb be a vector such that : veca*vecb=|...

    Text Solution

    |