Home
Class 12
MATHS
ABCD is a parallelogram. If L and M be t...

`ABCD` is a parallelogram. If L and M be the middle points of BC and CD, respectively express `vec(AL) and vec(AM)` in terms of `vec(AB) and vec(AD)`. Also show that `vec(AL)+vec(AM)=(3//2)vec(AC)`.

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

A B C D is a parallelogram. If L and M are the mid-points of B C and D C respectively, then express vec A L and vec A M in terms of vec A B and vec A D . Also, prove that vec A L+ vec A M=3/2 vec A Cdot

A B C D is a parallelogram. If La n dM are the mid-points of B Ca n dD C respectively, then express vec A La n d vec A M in terms of vec A Ba n d vec A D . Also, prove that vec A L+ vec A M=3/2 vec A Cdot

ABCD is a parallelogram E and F are the middle points of AD and CD respectively. Express vec(BE) and vec(BF) in terms of veca and vecb , where vec(BA)=vecaand vec(BC)=vecb .

If ABCD is a parallelogram, then vec(AC) - vec(BD) =

If D, E, F are respectively the mid-points of AB, AC and BC respectively in a Delta ABC, " then " vec (BE) + vec(AF) =

Let G be the centroid of Delta ABC , If vec(AB) = vec a , vec(AC) = vec b, then the vec(AG), in terms of vec a and vec b, is

In a parallelogram ABCD. Prove that vec(AC)+ vec (BD) = 2 vec(BC)

If ABCDEF is a regualr hexagon, then vec(AC) + vec(AD) + vec(EA) + vec(FA)=

In a quadrilateral ABCD, vec(AB) + vec(DC) =

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

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. What is the unit vector parallel to vec a=3 hat i+4 hat j-2 hat k ...

    Text Solution

    |

  2. ABCD  is a quadrilateral and  E  is the point of intersection of ...

    Text Solution

    |

  3. ABCD is a parallelogram. If L and M be the middle points of BC and CD,...

    Text Solution

    |

  4. If vec a , vec b , vec ca n d vec d are four vectors in three-dimensi...

    Text Solution

    |

  5. Find the vector of magnitude 3, bisecting the angle between the vec...

    Text Solution

    |

  6. If vec aa n d vec b are two vectors of magnitude 1 inclined at 120^0 ...

    Text Solution

    |

  7. If vec r1, vec r2, vec r3 are the position vectors of the collinear ...

    Text Solution

    |

  8. Examine the following vector for linear independence: (1) vec i+ve...

    Text Solution

    |

  9. Show that the vectors 2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n...

    Text Solution

    |

  10. Let vec a , vec ba n d vec c be three units vectors such that 2 vec a...

    Text Solution

    |

  11. Four non –zero vectors will always be a.  linearly dependent       ...

    Text Solution

    |

  12. A boat moves in still water with a velocity which is k times less t...

    Text Solution

    |

  13. In a triangle P Q R ,Sa n dT are points on Q Ra n dP R , respectively,...

    Text Solution

    |

  14. In a quadrilateral P Q R S , vec P Q= vec a , vec Q R = vec b , vec S ...

    Text Solution

    |

  15. solve the differential equation (1+x^2)dy/dx=x

    Text Solution

    |

  16. Sow that x1 hat i+y1 hat j+z1 hat k ,x2 hat i+y2 hat j+z2 hat k ,a n d...

    Text Solution

    |

  17. The position vector of the points P and Q are 5 hat i+7 hat j-2 hat ...

    Text Solution

    |

  18. Consider the vectors hat i+cos(beta-alpha) hat j+cos(gamma-alpha) hat...

    Text Solution

    |

  19. If vec a and vec b are two unit vectors and theta is the angle between...

    Text Solution

    |

  20. The vectors x hat i+(x+1) hat j+(x+2) hat k ,(x+3) hat i+(x+4) hat j+(...

    Text Solution

    |