Home
Class 11
MATHS
If the projection of veca on vecb and...

If the projection of `veca` on `vecb` and projection of `vecb` on `veca` are equal, then the angle between `veca+vecb` and `veca-vecb` is :

A

`(pi)/(2)`

B

`(pi)/(3)`

C

`(pi)/(4)`

D

`(2pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • Vector Algebra -I

    PREMIERS PUBLISHERS|Exercise Solution to Exercise(8.5)|25 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (CHOOSE THE CORRECT OPTION)|28 Videos

Similar Questions

Explore conceptually related problems

The projection vector of veca on vecb is

The angle between (vecA+vecB)and(vecA-vecB) can be

If veca and vecb are two vectors of magnitude 2 and inclined at an angle 60^(@) then the angle between veca and veca+vecb is

If veca and vecb are two vectors of magnitude 2 and inclined at an angle 60^(@) , then the angle between veca and veca+vecb is

If veca+vecb+vecc =0, |veca|=3, |vecb|=5, |vecc|=7 then the angle between veca and vecb is :

[veca, veca+vecb, veca+vecb+vecc] is :

If |veca+ vecb| lt | veca- vecb| , then the angle between veca and vecb can lie in the interval

PREMIERS PUBLISHERS-Vector Algebra -I-Choose Correct Option
  1. Find the odd man out.

    Text Solution

    |

  2. Find which in suitable for the blank space given below:|veca.vecb|…….....

    Text Solution

    |

  3. Assertion If D is the midpoint of the side BC of a triangle ABC then v...

    Text Solution

    |

  4. Assertion If G is the centroid of the triangle ABC then vecGA+vecGB+v...

    Text Solution

    |

  5. Find (veci+vecj).{(vecj+veck) X (veck+veci)}:

    Text Solution

    |

  6. If veca +5vecb and 4veca+mvecbare parallel then m is :

    Text Solution

    |

  7. If the projection of veca on vecb and projection of vecb on veca ar...

    Text Solution

    |

  8. If 60^(@), 45^(@), alpha^(@)are the directional angles of a vector vec...

    Text Solution

    |

  9. If aplha, beta, gamma are the directional angles of a vector then sin^...

    Text Solution

    |

  10. If vecr=(5veca-3vecb)/2, then the point P whose position vector rdivid...

    Text Solution

    |

  11. The Position vectors of A,B,C are 3veci+2vecj-veck, 2veci+4vecj+5veck ...

    Text Solution

    |

  12. The projection of 2veci-vecj+2veck on veci+2vecj+2veck is :

    Text Solution

    |

  13. If vec a,vecb,vecc are sides of triangle taken in order then avec+bvec...

    Text Solution

    |

  14. If veca=xveci+vecj-veck,vecb=veci-vecj-veck,vecc=veci-2vecj+3veck and ...

    Text Solution

    |

  15. If the points where position vector 5veci+3vecj,2veci-vecj and xveci+3...

    Text Solution

    |

  16. If vecaand vecb are unit vector which are included at an angle of 360^...

    Text Solution

    |

  17. If veca and vecb are of equal magnitude and angle between them is 30^(...

    Text Solution

    |

  18. In a quadrilateral ABCD, vecAB+vecBC+ vecCD is:

    Text Solution

    |

  19. If the vectors 2veci+vecj-veck, veci+3vecj-4veck and -veci-4vecj+lambd...

    Text Solution

    |

  20. (i) dot product of two vectors is not commutative (ii) If veci,vecj,ve...

    Text Solution

    |