Home
Class 12
MATHS
ABCDEF is a regular hexagon. Express the...

ABCDEF is a regular hexagon. Express the vectors `vec (CD)`,`vec (DE)`,`vec (EF)`,`vec (FA)`,`vec (CE)` in terms of `vec (AB)` and `vec (BC)`.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

If ABCDEF is a regular hexagon then vec(AD)+vec(EB)+vec(FC) equals :

ABCDEF is a regular hexagon. Show that : vec(AB)+vec(AC)+vec(AD)+vec(AE)+vec(AF)=6vec(AO) . Where O is the centre of the hexagon.

If ABCDEF is a regular hexagon with vec(AB) = vec(a) ,vec(BC ) = vec(b) then vec(CE) equals :

ABCDE is a pentagon. Prove that the resultant of forces vec (AB), vec(AE), vec(BC), vec(DC), vec(ED) and vec(AC) is 3vec(AC) .

ABCDEF is a regular hexagon. Show that : vec(OA)+vec(OB)+vec(OC)+vec(OD)+vec(OE)+vec(OF)=vec0 . Where O is the centre of the hexagon.

In pentagon ABCDE, prove that : vec(AB)+vec(BC)+vec(CD)+vec(DE)+vec(EA)=vec0 .

ABC is any triangle and D,E,F are the mid-points of sides vec(BC),vec(CA) and vec(AB) respectively. Express the vec (BE) and vec (CF) as linear combination of vectors vec (AB) and vec (AC) .

If vec a is any vector, then vec a*vec a

if A,B,C,D and E are five coplanar points, then vec(DA) + vec( DB) + vec(DC ) + vec( AE) + vec( BE) + vec( CE) is equal to :

ABCD is a parallelogram and AC, BD are its diagonals. Show that : vec(AC)+vec(BD)=2vec(BC),vec(AC)-vec(BD)=2vec(AB) .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Evaluate int dx/(3x^2+6x+5)

    Text Solution

    |

  2. A,B,C and D are four points with position vectors vec a, vec b, vec c ...

    Text Solution

    |

  3. ABCDEF is a regular hexagon. Express the vectors vec (CD),vec (DE),vec...

    Text Solution

    |

  4. Express the vector a=5hati-2hatj+5hatk as sum of two vectors such that...

    Text Solution

    |

  5. Find the component of vector vec PQ where: P(2,3), Q(5,-3). Also, fi...

    Text Solution

    |

  6. Find the component of vector vec PQ where: P(-1,-3), Q(4,5).Also, fi...

    Text Solution

    |

  7. Find the component of vector vec (PQ) where: P(0,2), Q(-5,-6).Also, f...

    Text Solution

    |

  8. Find the component of vector vec( PQ) where: P(2,4), Q(5,3).Also, fin...

    Text Solution

    |

  9. In each of the following problems, components of vec AB along X-axis a...

    Text Solution

    |

  10. In each of the following problems, components of vec AB along X-axis a...

    Text Solution

    |

  11. In each of the following problems, components of vec AB along X-axis a...

    Text Solution

    |

  12. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  13. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  14. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  15. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  16. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  17. Find the components of vector vec v making an angle alpha with positiv...

    Text Solution

    |

  18. Find the corordinates of the terminal point of the position vector whi...

    Text Solution

    |

  19. Find the position vector of mid point of the line segment AB where A i...

    Text Solution

    |

  20. If vec a= 2 hat I - 3 hat j, vec b= 3 hat i+ 2 hat j and vec c= hat i+...

    Text Solution

    |