Home
Class 11
PHYSICS
Find the condition for which |vecA+vecB...

Find the condition for which `|vecA+vecB|=|vecA-vecB|` ?

Text Solution

Verified by Experts

`|vecA+vecB|^2=|vecA-vecB|^2`
or, `A^2+B^2+2AB cos theta =A^2+B^2-2ABcos theta`
`or, 4AB cos theta =0 or, cos theta =0 =cos 90^@ or , theta =90^@`
`therefore` The condition is , `vecA bot vecB`.
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (NEET)|4 Videos
  • THERMOMETRY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIEVE - WBJEE|1 Videos
  • VISCOSITY AND SURFACE TENSION

    CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|9 Videos

Similar Questions

Explore conceptually related problems

The vectors vecA and vecB are such that |vecA+vecB|=|vecA-vecB| . The angle between two vectors will be

Vectors vecA and vecB satisfying the vector equation vecA+ vecB = veca, vecA xx vecB =vecb and vecA.veca=1 . where veca and vecb are given vectors, are

If veca and vecb are non - zero vectors such that |veca + vecb| = |veca - 2vecb| then

veca and vecb are two vectors such that |veca+vecb|= |veca-vecb| then angle between veca and vecb is

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

For any two vectors vecA and vecB, if vecA*vecB=|vecAxxvecB| , the magnitude of vecC=vecA+vecB is equal to

What is the angle between vector vecA and the resultant of (vecA+vecB) and (vecA-vecB) ?

Three vectors veca,vecbandvecc satisfy the condition veca+vecb+vecc=vec0 . Evaluate the quantity mu=veca*vecb+vecb*vecc+vecc*veca , if |veca|=3,|vecb|=4and|vecc|=2 .

If veca and vecb are unit vectors, then find the greatest value of |veca+vecb|+ |veca-vecb| .

Statement I: If two vectors veca and vecb are such that |veca+vecb|=|veca-vecb| , then the angle between veca and vecb is 90^@ . Statement II: veca+vecb=vecb+veca .

CHHAYA PUBLICATION-VECTOR-CBSE SCANNER
  1. A body is projected horizontally from the top of a building of height...

    Text Solution

    |

  2. A body is projected horizontally from the top of a building of height ...

    Text Solution

    |

  3. A body is projected horizontally from the top of a building of height ...

    Text Solution

    |

  4. A body is projected horizontally from the top of a building of height ...

    Text Solution

    |

  5. Explain why it is easier to pull a lawn mower than to push it.

    Text Solution

    |

  6. On a two-lane car A is travelling with a speed of 36 "km.h"^(-1) . Two...

    Text Solution

    |

  7. Prove that the path of projectile is parabolic.

    Text Solution

    |

  8. Find the condition for which |vecA+vecB|=|vecA-vecB| ?

    Text Solution

    |

  9. Two paraller rail tracks run north south . Train A moves north with a...

    Text Solution

    |

  10. velocity of B with respect to A

    Text Solution

    |

  11. velocity of ground with respect to B

    Text Solution

    |

  12. velocity of a monkey, running on the roof of the train A against its ...

    Text Solution

    |

  13. What is a projectile ? Obtain an expression for: maximum height , time...

    Text Solution

    |

  14. Is it possible to have constant of change of velocity when velocity ch...

    Text Solution

    |

  15. What are two angles of projection of a projectile projected with vel...

    Text Solution

    |

  16. If a projectile has a constant initial speed and angle of projection, ...

    Text Solution

    |

  17. An old man walks 10 m due east from his house and then turns to his l...

    Text Solution

    |

  18. Should the boy follow the same path followed by the old man ? If not,...

    Text Solution

    |

  19. What are the values you suggest for boy reply ?

    Text Solution

    |