Home
Class 12
MATHS
If A B C D is a rhombus whose diagonals ...

If `A B C D` is a rhombus whose diagonals cut at the origin `O ,` then proved that ` vec O A+ vec O B+ vec O C+ vec O D` =0

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If A B C D is a rhombus whose diagonals cut at the origin O , then proved that vec O A+ vec O B+ vec O C+ vec O D+ vec Odot

Let A B C D be a parallelogram whose diagonals intersect at P and let O be the origin. Then prove that vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot

Let A B C D be a p[arallelogram whose diagonals intersect at P and let O be the origin. Then prove that vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot

Let A B C D be a p[arallelogram whose diagonals intersect at P and let O be the origin. Then prove that vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot

A B C D is parallelogram and P is the point of intersection of its diagonals. If O is the origin of reference, show that vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot

A B C D is parallelogram and P is the point of intersection of its diagonals. If O is the origin of reference, show that vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot

If 2 vec A C = 3 vec C B , then prove that 2 vec O A =3 vec C B then prove that 2 vec O A + 3 vec O B =5 vec O C where O is the origin.

If O is a point in space, A B C is a triangle and D , E , F are the mid-points of the sides B C ,C A and A B respectively of the triangle, prove that vec O A + vec O B+ vec O C= vec O D+ vec O E+ vec O Fdot

If O is a point in space, A B C is a triangle and D , E , F are the mid-points of the sides B C ,C A and A B respectively of the triangle, prove that vec O A + vec O B+ vec O C= vec O D+ vec O E+ vec O Fdot

A B C D E is pentagon, prove that vec A B + vec B C + vec C D + vec D E+ vec E A = vec0

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Let A B C D be a p[arallelogram whose diagonals intersect at P and ...

    Text Solution

    |

  2. If A B C D is quadrilateral and Ea n dF are the mid-points of A Ca n d...

    Text Solution

    |

  3. If A B C D is a rhombus whose diagonals cut at the origin O , then p...

    Text Solution

    |

  4. Let D ,Ea n dF be the middle points of the sides B C ,C Aa n dA B , re...

    Text Solution

    |

  5. Consider the set of eight vectors V[ahati+bhatj+chatk:a,b,c in {1-1}]....

    Text Solution

    |

  6. Find the direction cosines of the vector joining the points A(1,2,-...

    Text Solution

    |

  7. Find the direction cosines of the vector hat i+2 hat j+3 hat kdot

    Text Solution

    |

  8. The median AD of the triangle ABC is bisected at E and BE meets AC at ...

    Text Solution

    |

  9. Vectors vec a and vec b are non-collinear. Find for what value of...

    Text Solution

    |

  10. i. If vec a , vec b a n d vec c are non-coplanar vectors, prove...

    Text Solution

    |

  11. Prove that a necessary and sufficient condition for three vectors ...

    Text Solution

    |

  12. If vec a , vec b , vec ca n d vec d are distinct vectors such that ...

    Text Solution

    |

  13. If vec a , vec ba n d vec c are non-coplanar vectors, prove that the ...

    Text Solution

    |

  14. Find the unit vector in the direction of the vector vec a= hat i+ ...

    Text Solution

    |

  15. let P an interioer point of a triangle A B C and A P ,B P ,C P meets t...

    Text Solution

    |

  16. Let vec a , vec ba n d vec c be unit vectors, such that vec a+ vec b...

    Text Solution

    |

  17. Let vec A and vec B be two non-parallel unit vectors in a plane. If...

    Text Solution

    |

  18. If the vectors 3 vec p+ vec q ;5p-3 vec qa n d2 vec p+ vec q ;4 vec p-...

    Text Solution

    |

  19. P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2,-1), then find the projection...

    Text Solution

    |

  20. A , B , C , D are any four points, prove that vec A Bdot vec C D+ v...

    Text Solution

    |