Home
Class 12
MATHS
ABCDEF is a regular hexagon. If vec(CD)=...

ABCDEF is a regular hexagon. If `vec(CD)=vec(a), vec(DE)=vec(b), " find " vec(AB), vec(BC), vec(BF), vec(CA), vec(AD) " and " vec(BD)` in terms of `vec(a) " and " vec(b)`.

Text Solution

Verified by Experts

The correct Answer is:
`vec(AB)=-vec(b), vec(BC)=vec(a)-vec(b), vec(BF), vec(a)+vec(b), vec(CA)=2vec(b)-vec(a), vec(AD)=2(vec(a)-vec(b)) " and " vec(BD)=2vec(a)-vec(b)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION|18 Videos

  • VECTOR

    CHHAYA PUBLICATION|Exercise EXERCISE - SHORT ANSWER TYPE QUESTIONS|17 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

ABCDEF is a regular hexagon. If vec(AB)=vec(a) " and " vec(BC)=vec(b), " find " vec(EF), vec(CD), vec(BF) " and " vec(BD) in terms of vec(a) " and " vec(b) .

ABCDEF is a regular hexagon. If vec(AB) = vec(a) and vec(BC) = vec(b), " find " vec(CD), vec(DE), vec(EF) and vec(FA) in terms of vec(a) and vec(b)

If vec(a)=vec(OA) " and " vec(b)=vec(AB), " then " vec(a)+vec(b) is -

If ABCDEF be a regular hexagon then (vec(AD)+vec(EB)+vec(FC)) is equal to -

If vec(a) + vec(b) + vec (c ) = vec(0) , show that vec(a) xx vec(b) = vec(b) xx vec(c ) = vec(c ) xx vec(a)

For non-zero vectors vec(a) and vec(b), " if " |vec(a) + vec(b)| lt |vec(a) - vec(b)| , then vec(a) and vec(b) are-

Given vec(C )= vec(A) xx vec(B) and vec(D) = vec(B) xx vec(A) . What is the angle between vec(C ) and vec(D) ?

If |vec(a)| = 2, |vec(b)| = 3 and vec (a) . vec(b) = 3 , then find the projection of vec(b)" on " vec(a)

Prove that : vec(a) . { vec(b) xx (vec(c) + vec(d))} = vec(a) . (vec(b)xx vec(c)) + vec(a) . ( vec(b) xx vec(d))

Prove that , (vec(a) - vec(b)) xx (vec(a) + vec(b)) = 2 ( vec(a) xx vec(b))

CHHAYA PUBLICATION-VECTOR-EXERCISE - LONG ANSWER TYPE QUESTIONS
  1. If vec(a)=hat(i)+hat(j)+hat(k), vec(b)=2hat(i)-hat(j)+3hat(k) " and " ...

    Text Solution

    |

  2. By vector method, show that the four points (7, 2, -3), (6, 1, 4), (-3...

    Text Solution

    |

  3. Find a unit vector in direction parallel to the sum of the vectors vec...

    Text Solution

    |

  4. If vec(a)=2hat(i)-2hat(j)+hat(k), vec(b)=2hat(i)+3hat(j)+6hat(k) " and...

    Text Solution

    |

  5. The vectors vec(a) " and " vec(b) are non-collinear. Find for what val...

    Text Solution

    |

  6. Given that the points with position vectors 12hat(i)-5hat(j), 10hat(i)...

    Text Solution

    |

  7. The vectors vec(a) " and " vec(b) are non-collinear. If vec(p)=(x+4y)v...

    Text Solution

    |

  8. If the sum of two unit vectors is a unit vector, prove that the magnit...

    Text Solution

    |

  9. ABCDEF is a regular hexagon. If vec(CD)=vec(a), vec(DE)=vec(b), " find...

    Text Solution

    |

  10. bar(AC) " and " bar(BD) are the diagonals of the parallelogram ABCD. P...

    Text Solution

    |

  11. By vector method show that the figure formed by joining the mid-points...

    Text Solution

    |

  12. Defination : Unit vector

    Text Solution

    |

  13. ABCD is a parallelogram and P is the midpoint of the side bar(BC). Pro...

    Text Solution

    |

  14. ABCD is a parallelogram, P and Q are the mid-points of the sides bar(A...

    Text Solution

    |

  15. ABCD is a parallelogram and P is the mid-point of bar(DC). If Q is a p...

    Text Solution

    |

  16. D, E, F are the midpoints of the sides bar(BC), bar(CA) " and " bar(AB...

    Text Solution

    |

  17. C is the midpoint of the line segment bar(AB) and O is any point outsi...

    Text Solution

    |

  18. G is a point inside the plane of the triangle ABC, if vec(GA)+vec(GB)+...

    Text Solution

    |

  19. The diagonals of the parallelogram ABCD intersect at E. If vec(a), vec...

    Text Solution

    |

  20. By vector method prove that the straight line joining the midpoints of...

    Text Solution

    |