Home
Class 12
MATHS
The vectors veca=3hati-2hatj+2hatkandvec...

The vectors `veca=3hati-2hatj+2hatkandvecb=-hati-2hatk` are the adjacent sides of a paralleogram. The angle between its diagonals is……. .

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -1|90 Videos

  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -2|47 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

The vactors veca = 3hati -2hatj + 2hatk and vecb =- hati -2hatk are the adjacent sides of a parallelogram. Then , the acute angle between veca and vecb is

Find a unit vectro perpendicular to the vectors veca=3hati+2hatj-hatk and vecb=12hati+5hatj-5hatk Also determine the sine of the angle between veca and vecb .

The projection of vector veca=2hati+3hatj+2hatk along vecb=hati+2hatj+1hatk is

Find |vecaxxvecb|,if veca=hati-7hatj+7hatkandvecb=3hati-2hatj+2hatk .

If veca=3hati+hatj-4hatk and vecb=6hati+5hatj-2hatk find |veca Xvecb|

Show that vecA=2hati-hatj+2hatkandvecB=2hati+2hatj-hatk are perpendicular to each other.

The angle between the two vectors vecA=hati+2hatj-hatk and vecB=-hati+hatj-2hatk

Find the scalar product of vectors veca=2hati-hatj+2hatk and vecb=hati-3hatj-5hatk

Given two vectors veca= -hati +hatj + 2hatk and vecb =- hati - 2 hatj -hatk Find a. vecaxxvecb then use this to find the area of the triangle. b. The area of the parallelogram c. The area of a paralleogram whose diagonals are 2 veca and 4vecb

If veca=7hati-4hatj-4hatk and vecb=-2hati-hatj+2hatk , determine vector vecc along the internal bisector of the angle between vectors veca and vecb such that |vecc|= 5sqrt6 .

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)
  1. The vectors veca=3hati-2hatj+2hatkandvecb=-hati-2hatk are the adjacent...

    Text Solution

    |

  2. Sate true/false. The points with position vectors veca + vecb, veca-ve...

    Text Solution

    |

  3. Let vecA, vecB and vecC be unit vectors such that vecA.vecB = vecA.vec...

    Text Solution

    |

  4. for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc...

    Text Solution

    |

  5. If vecX.vecA=0, vecX.vecB=0,vecX.vecC=0 for some non-zero vector, vecX...

    Text Solution

    |

  6. find three- dimensional vectors, vecv1, vecv2 and vecv3" satisfying "...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...

    Text Solution

    |

  9. Determine the value of c so that for all real x , vectors c x hat i-6 ...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. Let OACB be a parallelogram with O at the origin and OC a diagonal. Le...

    Text Solution

    |

  12. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

    Text Solution

    |

  13. If veca, vecb, vecc and vecd ar distinct vectors such that veca xx v...

    Text Solution

    |

  14. For any two vectors vecu and vecv prove that (1+|vecu|^2)(1+|vecv|^2) ...

    Text Solution

    |

  15. A , B , Ca n dD are any four points in the space, then prove that |...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. vecu, vecv and vecw are three nono-coplanar unit vectors and alpha, be...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. Let vecu and vecv be unit vectors. If vecw is a vector such that vecw+...

    Text Solution

    |

  20. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

    Text Solution

    |

  21. If vecA , vecB and vecC are vectors such that |vecB| = |vecC| prove th...

    Text Solution

    |