Home
Class 12
MATHS
Show that the projection of vecb on veca...

Show that the projection of `vecb` on `veca ne vec0` is : `((veca*vecb)/(|veca|^2))veca`.

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 :

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

Find the projection of veca on vecb if veca.vecb=8 and vecb=2hati+6hatj+3hatk .

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

the angle between vectors veca × vecb and vecb × veca is

Let vec a, vec b, vec c are three vectors such that veca .veca=vecb . vecb = vecc . vecc = 3 and |veca-vecb|^2+|vecb-vecc|^2+|vecc-veca|^2=27, then

Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vecb|veca for any two non zero vectors veca and vecb

Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb) .

Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb)

MODERN PUBLICATION-VECTORS-Exercise
  1. Find the value of 'lambda' such that the vectors veca and vecb are per...

    Text Solution

    |

  2. If 2hati+hatj-3hatk and mhati+3hatj-hatk are perpendicular to each oth...

    Text Solution

    |

  3. Show that the projection of vecb on veca ne vec0 is : ((veca*vecb)/(|v...

    Text Solution

    |

  4. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

    Text Solution

    |

  5. Find a unit vector perpendicular to each of the vector veca+vecb and v...

    Text Solution

    |

  6. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

    Text Solution

    |

  7. If veca=hati-hatj+7hatk and vecb=5hati-hatj+lambdahatk, then find the ...

    Text Solution

    |

  8. If vecp=5hati+lambdahatj-3hatk and vecq=hati+3hatj-5hatk, then find th...

    Text Solution

    |

  9. If veca=5hati-hatj+7hatk and vecb=hati-hatj-lambdahatk, then find the ...

    Text Solution

    |

  10. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  11. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  12. Show that the points : A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4...

    Text Solution

    |

  13. The position vectors of the vertices of /\ABC are : 3hati-4hatj-4hatk,...

    Text Solution

    |

  14. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

    Text Solution

    |

  15. If veca+vecb+vecc=vec0, |veca|=3,|vecb|=5 and |vecc|=7, find the angle...

    Text Solution

    |

  16. If |veca+vecb|=|veca-vecb| then show that veca and vecb are perpendicu...

    Text Solution

    |

  17. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

    Text Solution

    |

  18. Prove that (veca+vecb) cdot (veca+vecb) = |veca|^2 + |vecb|^2, if and ...

    Text Solution

    |

  19. Three vectors veca, vecb, vecc satisfy the condition veca+vecb+vecc=v...

    Text Solution

    |

  20. If the vectors veca,vecb and vecc satisfy the condition veca+vecb+vecc...

    Text Solution

    |