Home
Class 12
MATHS
If hati+ hatj - hatk and 2hati - 3 hatj ...

If `hati+ hatj - hatk` and `2hati - 3 hatj + hatk` are adjacent sides of a parallelogram , then the lengths of its diagonals are

A

`sqrt(21) , sqrt(13)`

B

`sqrt3 , sqrt(14)`

C

`sqrt(14) , sqrt(14)`

D

`sqrt(21) , sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2010

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

  • KARNATAKA CET 2013

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

If the vectors vec(AB) = 3 hati + 4 hatk and A vecC = 5 hati - 2 hatj + 4 hatk are the side of the triangle ABC, then the length of the median through A is :

Let PvecR = 3 hati + hatj - 2 hatk and S vecQ = hati - 3 hatj - 4 hatk. Determine diagonals of a parallelogram PQRS and PT = hati + 2 hatj + 3 hatk be another vector. The volume of the parallelopiped determined by the vector P vecT, P vecQ and PvecS is :

If a=2hati+hatj-8hatk and b=hati+3hatj-4hatk , then the magnitude of a+b is equal to

If a=2hati-hatj+2hatk and b=-hati+hatj-hatk , then find a+b.

The sides of a parallelogram are 2hati +4hatj -5hatk and hati + 2hatj +3hatk . The unit vector parallel to one of the diagonals is

Let veca = 2hati + hatj -hatk , vecb = hati + 2hatj - hatk , and vecc = hati + hatj - 2hatk , be three vectors . A vector in the plane of b and c whose projection an a is of magnitude sqrt(2//3) is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2012-MATHEMATICS
  1. The reflection of the point (1 , 1) along the line y = -x is

    Text Solution

    |

  2. The number of circles that touch the co-ordinate axes and the line who...

    Text Solution

    |

  3. If f(x) is an even function , then f'(x) is

    Text Solution

    |

  4. The perimeter of a sector is a constant . If its area is to be maximum...

    Text Solution

    |

  5. The last digit of number 7^(886) is

    Text Solution

    |

  6. If (24 , 92) = 24 m + 92 n , then ( m , n) is

    Text Solution

    |

  7. The characteristic equation of a matrix A is lambda^(3) - 5 lambda^(2)...

    Text Solution

    |

  8. If hati+ hatj - hatk and 2hati - 3 hatj + hatk are adjacent sides of a...

    Text Solution

    |

  9. If the volume of the parallelepiped formed by three non-coplanar vecto...

    Text Solution

    |

  10. Which of the following is a subgroup of the group G = {2^(n)| n in N }...

    Text Solution

    |

  11. In the group G = { 1 , 2 , 3 ,4 , 5 , 6} under ox (7) , the solution...

    Text Solution

    |

  12. The number of real solutions of the equation tan^(-1) sqrt( x ( x + 1)...

    Text Solution

    |

  13. If sin 2x = 4 cos x , then x =

    Text Solution

    |

  14. If alpha and beta two different complex numbers with |beta|=1, then |(...

    Text Solution

    |

  15. The equations of the two tangents from (-5 , -4) to the circle x^(2) +...

    Text Solution

    |

  16. If x = t^(2) + 2 and y = 2t represent the parametric equation of the p...

    Text Solution

    |

  17. If x - y = 1 is a tangent to the hyperbola , the point of contact is

    Text Solution

    |

  18. If y = tan^(-1) ((1)/(1 + x + x^(2))) + tan^(-1) ((1) /(x^(2) + 2x + 3...

    Text Solution

    |

  19. If f(x) = sin[pi^(2)]x + cos [-pi^(2)]x then f'(x) is here [pi^(2)] an...

    Text Solution

    |

  20. The tangent to the curve xy = 25 at any point on it cuts the coordinat...

    Text Solution

    |