Home
Class 12
MATHS
Angle between diagonals of a parallelogr...

Angle between diagonals of a parallelogram whose side are represented by `veca=2hati+hatj+hatk` and `vecb=hati-hatj-hatk`

A

`cos^(-1) ((1)/(3))`

B

`cos^(-1)((1)/(2))`

C

`cos^(-1) ((4)/(9))`

D

`cos^(-1) ((5)/(9))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -I)|21 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -II)|15 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL-II)|41 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

Find the area of the parallelogram whose sides are represented by 2hati+4hatj-6hatk and hati+2hatk

Find the area of the parallelogram whose sides are represented by 2hati + 4hatj - 6hatk and hati +2hatk.

find the area of a parallelogram whose diagonals are veca=3hati+hatj-2hatk and vecb=hati-3hatj+4hatk .

Find the area of the parallelogram whose adjacent sides are represented by the vectors hati+2hatj+3hatk and 3hati-2hatj+hatk .

Diagonals of a parallelogram are respresented by vectors vecA = 5hati - 4hatj + 3hatk and vecB = 3hati +2hatj - hatk . Area of the parallelogram is :

Find the area of the prallelogram whose adjacent sides are veca=hati+2hatj+3hatk and vecb=3hati-2hatj+hatk .

Calculate the area of a parallelogram whose adjacent sides are formed by the vectors vecA=hati-3hatj+hatk and vecB=2hati-hatj+3hatk .

The area of the parallelogram whose diagonals are the vectors hati+3hatj- 2hatk and 3hati+hatj-4hatk

Find the area of the parallelogram whsoe adjacent sides are given by the vectors veca=3hati+hatj+4hatk and vecb=hati-hatj+hatk

MOTION-VECTOR -EXERCISE - 1
  1. The set of values of 'm' for which the vectors vec(a) = mhati + (m + 1...

    Text Solution

    |

  2. यदि |vec a| = 7, |vec a-vec b | = 8 तथा |vec a +vec b| = 10, तब |ve...

    Text Solution

    |

  3. Angle between diagonals of a parallelogram whose side are represented ...

    Text Solution

    |

  4. Let vec(a) , vec(b),vec(c) be vectors of length 3,4,5 respectively. Le...

    Text Solution

    |

  5. The value of 'a' for which the points A, B,C with position vectors ...

    Text Solution

    |

  6. A paticle acted on by constant forces 4hati=hatj-3hatk and 3hati+hatj-...

    Text Solution

    |

  7. Let vec(a), vec(b) and vec(c) be three vectors such that vec(a) + vec...

    Text Solution

    |

  8. If vec(a)= hati - hatj, bar(b) = hat(i) + hat(j), vec(c) = hat(i) + 3h...

    Text Solution

    |

  9. Given the three vectors vec(a) = - 2hati + hat(j) + hat(k), vec(b) = ...

    Text Solution

    |

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

    Text Solution

    |

  11. Let vec a = hati+hatj and vec b = 2 hat i - hat k. The point of inters...

    Text Solution

    |

  12. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

    Text Solution

    |

  13. Unit vector perpendicular to the plane of DeltaABC with position vecto...

    Text Solution

    |

  14. If vec(b) and vec(c) are two non-collinear vectors such that vec(a)...

    Text Solution

    |

  15. Find the vector of length 3 unit which is perpendicular to hat i+ ...

    Text Solution

    |

  16. Given the vertices A(2,3,1), B(4,1,-2), C(6,3,7) and D(-5,-4,8) of a ...

    Text Solution

    |

  17. For a non zero vector vec(A) . If the equations vec(A).vec(B) = vec...

    Text Solution

    |

  18. If vecu and vecv are unit vectors and theta is the acute angle bet...

    Text Solution

    |

  19. If vecu=veca-vecb,vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvecv...

    Text Solution

    |

  20. If A(1,1,1),C(2,-1,2) the vector equation of the line vec(AB) is v...

    Text Solution

    |