Home
Class 12
MATHS
Let ABCD be a parallelogram such that ve...

Let ABCD be a parallelogram such that `vec AB = vec q,vec AD = vec p` and `/_BAD` be an acute angle. If `vec r` is the vector that coincides with the altitude directed from the vertex B to the side AD, then `vec r` is

A

`r=-q+((p*q))/(p*p)p`

B

`r=q-((p*q))/(p*p)p`

C

`r=-3q+(3(p*q))/(p*p)p`

D

`r=3q-(3(p*q))/(p*p)p`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Level-2 Single Correct Answer Type Questions)|25 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions)|25 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Concept -Based Single Correct Answer Type Questions)|10 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p""a n d""/_B A D be an acute angle. If vec r is the vector that coincides with the altitude directed from the vertex B to the side AD, then vec r is given by (1) vec r=3 vec q-(3( vec pdot vec q))/(( vec pdot vec p)) vec p (2) vec r=- vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (3) vec r= vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (4) vec r=-3 vec q+(3( vec pdot vec q))/(( vec pdot vec p)) vec p

ABCD is a parallelogram . If vec(AB)=vec(a), vec(BC)=vec(b) , then what vec(BD) equal to ?

Given a parallelogram ABCD. If |vec AB|=a,|vec AD|=b&|vec AC|=c, then vec DB*vec AB has the value

The area of the parallelogram constructed on the vectors vec a=vec p+2vec q and vec b=2vec p+vec q as sides vec p,vec q are unit vectors.Find their area

If vec p xxvec q=vec r and vec p*vec q=c, then vec q is

ABCD is a quadrilateral with vec AB=vec a,vec AD=vec b and vec AC=2vec a+3vec b If its area is alpha xx the area of the parallelogram with AB and AD as adjacent sides,then alpha=

If vec P+ vec Q = vec R and |vec P| = |vec Q| = | vec R| , then angle between vec P and vec Q is

If vec P xx vec Q= vec R, vec Q xx vec R= vec P and vec R xx vec P = vec Q then

If vec a is a unit vector, vec a xxvec r = vec b, vec a * vec r = c, vec a * vec b = 0, then vec r is equal to

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-SOLVED EXAMPLES (Level-1 Single Correct Answer Type Questions)
  1. If a, b and c are unit vectors then abs(a-b)^(2)+abs(b-c)^(2)+abs(c-a)...

    Text Solution

    |

  2. Find the value of a so that the volume of the parallelepiped formed...

    Text Solution

    |

  3. If a=i-j-k,a*b=1" and "a times b=-j+k, then k is equal to

    Text Solution

    |

  4. The unit vector which is orthogonal to the vector 5i+2j+6k and is copl...

    Text Solution

    |

  5. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

    Text Solution

    |

  6. If abs(a)=1, abs(b)=2" and "abs(a-2b)=4" then "abs(a+3b) is equal to

    Text Solution

    |

  7. If abs(a)^(2)=8" and "a times (i+j+2k)=0 then the value of a*(-i+j+4k)...

    Text Solution

    |

  8. If a, b, c are unit vectors, then the maximum value of abs(a+2b)^(2)+a...

    Text Solution

    |

  9. Let veca=2hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector such th...

    Text Solution

    |

  10. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

    Text Solution

    |

  11. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |

  12. vectors veca=i-j+2k , vecb=2i+4j+k and vecc=lambdai+j+muk are mutually...

    Text Solution

    |

  13. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

    Text Solution

    |

  14. If a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k), then the value of (2a-b)....

    Text Solution

    |

  15. The vectors a and b are not perpendicular and c and d are two vectors ...

    Text Solution

    |

  16. If the vectors pi + j + k, i + qj + k and i + j + rk, where pneqnerne1...

    Text Solution

    |

  17. Let a,b and c be three non-zero vectors which are pairwise non-colline...

    Text Solution

    |

  18. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

    Text Solution

    |

  19. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

    Text Solution

    |

  20. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

    Text Solution

    |