Home
Class 12
MATHS
If |veca + vecb| = |veca - vecb| then th...

If `|veca + vecb| = |veca - vecb|` then the vectors `veca` and `vecb` are adjacent sides of

A

a rectangle

B

a square

C

a rhombus

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -2 : CONCEPT APPLICATOR|30 Videos

  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -2 : CONCEPT APPLICATOR|30 Videos

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

If |veca+vecb|=|veca-vecb| , then the vectors vecaandvecb are orthogonal

If |veca+vecb|=|veca-vecb| show that veca_|_vecb .

If |veca+vecb|=|veca-vecb|, (veca,vecb!=vec0) show that the vectors veca and vecb are perpendicular to each other.

Let veca and vecb be two vectors such that |2 veca + 3 vecb| = |3 veca + vecb| and the angle between veca and vecb is 60^(@) . If 1/8 veca is a unit vector, then |vecb| is equal to :

If veca,vecb are two unit vectors such that |veca + vecb| = 2sqrt3 and |veca -vecb|=6 then the angle between veca and vecb , is

l veca . m vecb = lm(veca . vecb) and veca . vecb = 0 then veca and vecb are perpendicular if veca and vecb are not null vector

If veca and vecb are two vectors, such that veca.vecblt0 and |veca.vecb|=|vecaxxvecb| then the angle between angles between the vectors veca and vecb is

Let veca and vecb be two non-zero vectors perpendicular to each other and |veca|=|vecb| . If |veca xx vecb|=|veca| , then the angle between the vectors (veca +vecb+(veca xx vecb)) and veca is equal to :

There are two vectors vecA=3hati+hatj and vecB=hatj+2hatk . For these two vectors- (a) Find the component of vecA along vecB in vector form. (b) If vecA & vecB are the adjacent sides of a parallalogram then find the magnitude of its area. (c) Find a unit vector which is perpendicular to both vecA & vecB .

DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. If veca=hati+hatj+hatk, hatb4hati+3hatj+4hatk and vecc=hati+alphahatj+...

    Text Solution

    |

  2. In a triangle ABC three forces of magnitudes 3vec(AB), 2vec(AC) and 6v...

    Text Solution

    |

  3. If |veca + vecb| = |veca - vecb| then the vectors veca and vecb are ad...

    Text Solution

    |

  4. If the position vectors of the vertices A,B and C of a DeltaABC are 7h...

    Text Solution

    |

  5. If veca = 3hati - hatj - 4hatk , vecb = -2hati + 4hatj - 3hatk and vec...

    Text Solution

    |

  6. The vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are the ...

    Text Solution

    |

  7. If two vertices of a triangle are i-j and j+k , then the third vertex ...

    Text Solution

    |

  8. The figure formed by the four points hati + hatj -hatk, 2hati + 3hatj,...

    Text Solution

    |

  9. If the vector 8hati+ahatj of magnitude 10 is the directionn of the vec...

    Text Solution

    |

  10. If A, B, C are vertices of a triangle whose position vectors are vec ...

    Text Solution

    |

  11. Which of the following is an example of two different vectors with sam...

    Text Solution

    |

  12. veca=3hati-5hatj and vecb=6hati+3hatj are two vectors and vec c is a v...

    Text Solution

    |

  13. If vecp,vecq and vecr are perpendicular to vecq + vecr , vec r + vecp...

    Text Solution

    |

  14. If veca =hati + hatj - hatk, vecb = 2hati + 3hatj + hatk and vec c = h...

    Text Solution

    |

  15. If hat(i)+hat(j), hat(j)+hat(k), hat(i)+hat(k) are the position vector...

    Text Solution

    |

  16. If veca and vecb are non colinear vectors, then the value of alpha for...

    Text Solution

    |

  17. If angle between veca = hati - 2hatj + 3hatk and vecb = 2hati + hatj ...

    Text Solution

    |

  18. If veca, vecb,vecc are non-coplanar vectors and lambda is a real numbe...

    Text Solution

    |

  19. Find the unit vector parallel to the resultant vector of 2hati+4hatj-5...

    Text Solution

    |

  20. If the middle points of sides BC, CA and AB of triangle ABC are respec...

    Text Solution

    |