Home
Class 11
MATHS
If veca=xveci+vecj-veck,vecb=veci-vecj-v...

If `veca=xveci+vecj-veck,vecb=veci-vecj-veck,vecc=veci-2vecj+3veck` and `veca.vecb X vecc =7` then x is :

A

2

B

-2

C

1

D

-1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Vector Algebra -I

    PREMIERS PUBLISHERS|Exercise Solution to Exercise(8.5)|25 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (CHOOSE THE CORRECT OPTION)|28 Videos

Similar Questions

Explore conceptually related problems

if veca=veci+vecj+veck, vecb=2veci+xvecj+veck, vecc=veci-vecj+4veck and veca.(vecbxxvecc)=70 then x=

If veca=2veci+vecj-veck , vecb=veci+2vecj+veck and vecc=veci-vecj+2veck then veca.(vecbxxvecc) =

If veca=5veci-2vecj+3veck , vecb=2veci+vecj-veck find veca X vecb .

If veca=2veci+3vecj-5veck , vecb=-veci-vecj+2veck and vecc=4veci-2vecj+2veck Show that (vecaxxvecb)xxveccnevecaxx(vecbxxvecc) .

If veca =3veci+2vecj-4veck , vecb =5veci-3vecj+6veck , vecc =5veci+vecj+2veck ,fin(i) vecaxx(vecbxxvecc) (ii) (vecaxxvecb)xxvecc and show that they are not equal.

Given that veca=5veci+3vecj+4veck , vecb=3veci-2vecj-veck, vecc=4veci-3vecj+mveck such that veca is perpendicular to (b+c) find m.

If veca =veci-2vecj+veck,vecb=2veci-vecj+2veck, vecc=3veci+vecj-veck be such that ((veca)/(lambdavecb)) is perpendicular to c, the the value of lambda is:

If the edges veca=-3veci+7vecj+5veck , vecb=-5veci+7vecj-3veck , vecc=-7veci-5vecj-3veck meet a vertex, find the volume of the parallelepiped.

If veca=2veci+3vecj-veck, vecb=-2veci+5veck, vecc=vecj-3veck verify that veca xx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc.

If veca =2veci+3vecj-veck , vecb =2veci+5veck , vecc =vecj-3veck , verify that vecaxx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc .

PREMIERS PUBLISHERS-Vector Algebra -I-Choose Correct Option
  1. Find the odd man out.

    Text Solution

    |

  2. Find which in suitable for the blank space given below:|veca.vecb|…….....

    Text Solution

    |

  3. Assertion If D is the midpoint of the side BC of a triangle ABC then v...

    Text Solution

    |

  4. Assertion If G is the centroid of the triangle ABC then vecGA+vecGB+v...

    Text Solution

    |

  5. Find (veci+vecj).{(vecj+veck) X (veck+veci)}:

    Text Solution

    |

  6. If veca +5vecb and 4veca+mvecbare parallel then m is :

    Text Solution

    |

  7. If the projection of veca on vecb and projection of vecb on veca ar...

    Text Solution

    |

  8. If 60^(@), 45^(@), alpha^(@)are the directional angles of a vector vec...

    Text Solution

    |

  9. If aplha, beta, gamma are the directional angles of a vector then sin^...

    Text Solution

    |

  10. If vecr=(5veca-3vecb)/2, then the point P whose position vector rdivid...

    Text Solution

    |

  11. The Position vectors of A,B,C are 3veci+2vecj-veck, 2veci+4vecj+5veck ...

    Text Solution

    |

  12. The projection of 2veci-vecj+2veck on veci+2vecj+2veck is :

    Text Solution

    |

  13. If vec a,vecb,vecc are sides of triangle taken in order then avec+bvec...

    Text Solution

    |

  14. If veca=xveci+vecj-veck,vecb=veci-vecj-veck,vecc=veci-2vecj+3veck and ...

    Text Solution

    |

  15. If the points where position vector 5veci+3vecj,2veci-vecj and xveci+3...

    Text Solution

    |

  16. If vecaand vecb are unit vector which are included at an angle of 360^...

    Text Solution

    |

  17. If veca and vecb are of equal magnitude and angle between them is 30^(...

    Text Solution

    |

  18. In a quadrilateral ABCD, vecAB+vecBC+ vecCD is:

    Text Solution

    |

  19. If the vectors 2veci+vecj-veck, veci+3vecj-4veck and -veci-4vecj+lambd...

    Text Solution

    |

  20. (i) dot product of two vectors is not commutative (ii) If veci,vecj,ve...

    Text Solution

    |