Home
Class 12
MATHS
Let P,Q R and S be the points on the pla...

Let P,Q R and S be the points on the plane with position vectors `-2hati -hatj, 4hati, 3hati+ 3hatj ` and `-3hati + 2hatj`, respectively. The quadrilateral PQRS must be:

A

parallelogram, which is neither a rhombus nor a rectangle

B

square

C

rectangle, but not a square

D

rhombus, but not a square

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|18 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

    Text Solution

    |

  2. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

    Text Solution

    |

  3. Let P,Q R and S be the points on the plane with position vectors -2hat...

    Text Solution

    |

  4. If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...

    Text Solution

    |

  5. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

    Text Solution

    |

  6. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  7. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

    Text Solution

    |

  8. Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...

    Text Solution

    |

  9. The number of distinct real values of lambda , for which the vectors...

    Text Solution

    |

  10. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, find...

    Text Solution

    |

  11. Let A be vector parallel to line of intersection of planes P1 and P2. ...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the 7th term of GP if the first term is 7 and common ratio is 2.

    Text Solution

    |

  14. The unit vector which is orthogonal to the vector 3hati + 2hatj + 6hat...

    Text Solution

    |

  15. The value of a so that the volume of parallelepiped formed by hat i...

    Text Solution

    |

  16. If vec a=( hat i+ hat j+ hat k), vec a. vec b=1a n d vec axx vec b= h...

    Text Solution

    |

  17. Let v=2hat(i)+hat(j)-hat(k) and w=hat(i)+3hat(k). If hat(u) is unit v...

    Text Solution

    |

  18. If veca and vecb are two unit vectors such that veca + 2vecb and 5 vec...

    Text Solution

    |

  19. Let a= 2hat(i) +hat(j) -2hat(k) , b=hat(i) +hat(j) and c be a vecto...

    Text Solution

    |

  20. If [axxb bxxc c xxa]=lambda[abc]^(2), then lambda is equal to

    Text Solution

    |