Home
Class 12
MATHS
ABCDE is a pentagon. Prove that the resu...

`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)`.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|11 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise VECTOR ALGEBRA EXERCISES 1: Single Option Correct Type Questions|1 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|7 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

ABCDE is a pentagon. Prove that the resultant of force vec A B , vec A E , vec B C , vec D C , vec E D and vec A C ,is 3 vec A C .

If ABCDE is a pentagon, then vec(AB) + vec(AE) + vec(BC) + vec(DC) + vec(ED) + vec(AC) is equal to

Prove that ( vec(A) + vec(B)) xx ( vec(A) - vec(B)) = 2 (vec(B) xx vec(A))

ABCDEF is a regular hexagon, Fig. 2 (c ) .65. What is the value of (vec (AB) + vec (AC) + vec (AD) + vec (AE) + vec (AF) ? .

If ABCDEF is a regular hexagon, prove that vec(AC)+vec(AD)+vec(EA)+vec(FA)=3vec(AB)

In a regular hexagon ABCDEF, prove that vec(AB)+vec(AC)+vec(AD)+vec(AE)+vec(AF)=3vec(AD)

Prove that 3vec(OD)+vec(DA)+vec(DB)+vec(DC) is equal to vec(OA)+vec(OB)+vec(OC) .

If ABCD is a rhombus whose diagonals intersect at E, then vec(EA) + vec(EB) + vec(EC) + vec( ED) equals

Prove that vec(a). {(vec(b) + vec(c)) xx (vec(a) + 2vec(b) + 3vec(c))} = [vec(a) vec(b) vec(c)] .

A B C D E is pentagon, prove that vec A B+ vec A E+ vec B C+ vec D C+ vec E D+ vec A C=3 vec A C

ARIHANT MATHS ENGLISH-VECTOR ALGEBRA-Exercise For Session 2
  1. If a=2hati-hatj+2hatk and b=-hati+hatj-hatk, then find a+b. Also, find...

    Text Solution

    |

  2. Find a unit vector in the direction of the resultant of the vectors (h...

    Text Solution

    |

  3. Find the direction cosines of the resultant of the vectors (hati+hatj+...

    Text Solution

    |

  4. In a regular hexagon ABCDEF, vec(AE)

    Text Solution

    |

  5. Prove that 3vec(OD)+vec(DA)+vec(DB)+vec(DC) is equal to vec(OA)+vec(OB...

    Text Solution

    |

  6. In a regular hexagon ABCDEF, bar(AB) + bar(AC)+bar(AD)+ bar(AE) + bar(...

    Text Solution

    |

  7. ABCDE is a pentagon. Prove that the resultant of forces vec (AB), vec(...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. If P(-1,2) and Q(3,-7) are two points, express the vector PQ in terms ...

    Text Solution

    |

  10. If vec(OP)=2hati+3hatj-hatk and vec(OQ)=3hati-4hatj+2hatk find the mod...

    Text Solution

    |

  11. Show that the points A,B and C having position vectors (3hati - 4hatj ...

    Text Solution

    |

  12. If a=2hati+2hatj-hatk and |xveca|=1, then find x.

    Text Solution

    |

  13. If p=7hati-2hatj+3hatk and q=3hati+hatj+5hatk, then find the magnitude...

    Text Solution

    |

  14. Find a vector in the direction of 5hati-hatj+2hatk, which has magnitud...

    Text Solution

    |

  15. If a=hati+2hatj+2hatk and b=3hati+6hatj+2hatk, then find a vector in t...

    Text Solution

    |

  16. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  17. If the position vector of one end of the line segment AB be 2hati+3hat...

    Text Solution

    |