Home
Class 12
MATHS
Let veca=veci-veck,vecb=xveci+vecj+(1-x)...

Let `veca=veci-veck,vecb=xveci+vecj+(1-x)veck` and `vecc=yveci+xvecj+(1+x-y)veck`. Then `[veca vecb vecc]` depends on

A

Neither x nor y

B

both x and y

C

only x

D

only y

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|36 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (INTEGER TYPE)|4 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

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

Similar Questions

Explore conceptually related problems

Let veca =veci -veck, vecb = xveci+ vecj + (1-x)veck and vecc =y veci +xvecj + (1+x -y)veck . Then veca, vecb and vecc are non-coplanar for

Let vecC=vecA+vecB

Let veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+x-y)hatk , then [veca vecb vecc] depends on

Let veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+x-y)hatk , then [veca vecb vecc] depends on

If vecA=2veci+vecj-3veck vecB=veci-2vecj+veck and vecC=-veci+vecj-vec4k find vecAxx(vecBxxvecC)

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

If veca = 2veci+3vecj-veck, vecb =-veci+2vecj-4veck and vecc=veci + vecj + veck , then find the value of (veca xx vecb).(vecaxxvecc)

If veca = 2vecj+3vecj-veck, vecb =-veci+2vecj-4veck and vecc=veci + vecj + veck , then find the value of (veca xx vecb).(vecaxxvecc)

Examine whether the vectors veca=2veci+3vecj+2veck, vecb=veci-vecj+2veck and vecc=3veci+2vecj-4veck form a left handed or a righat handed system.

If veca=veci+vec(2j)-veck,vecb=vec(2i)+vecj+vec(3k),vecc=veci-vecj+veck and vecd=vec(3i)+vecj+vec(2k) then evaluate (vecaxxvecb).(veccxxvecd)

VMC MODULES ENGLISH-VECTORS -JEE MAIN (ARCHIVE)
  1. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

    Text Solution

    |

  2. If the vectors veca, vecb and vecc form the sides, BC , CA and AB, res...

    Text Solution

    |

  3. Let veca=veci-veck,vecb=xveci+vecj+(1-x)veck and vecc=yveci+xvecj+(1+x...

    Text Solution

    |

  4. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

    Text Solution

    |

  5. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

    Text Solution

    |

  6. The vector hati +xhatj+3hatk is rotated through an angle theta and is ...

    Text Solution

    |

  7. A particle acted upon by constant forces 4hati+hatj-3hatk and 3hati + ...

    Text Solution

    |

  8. If veca, vecb and vec are non-coplanar vectors and lamda is a real num...

    Text Solution

    |

  9. Given, two vectors are hati - hatj and hati + 2hatj, the unit vector c...

    Text Solution

    |

  10. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

    Text Solution

    |

  11. A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...

    Text Solution

    |

  12. If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^2)|=0 and vectors (1,a,a^2)...

    Text Solution

    |

  13. If vecu,vecv and vecw are three non coplanar vectors then (vecu+vecv-v...

    Text Solution

    |

  14. Consider points A,B,C annd D with position vectors 7hati-4hatj+7hatk,h...

    Text Solution

    |

  15. Let A(3,0,-1), B(2,10,6) and C(1,2,1) be the vertices of a triangle an...

    Text Solution

    |

  16. If a unit vector vec a makes angle pi//3 with hat i ,pi//4 with hat...

    Text Solution

    |

  17. Let a=hati + hatj + sqrt(2)hatk, b=b(1)hati + b(2)hatj + sqrt(2)hatk a...

    Text Solution

    |

  18. Prove that the line x=ay+b, z=cy+d and x=a'y+b', z=dy+d' are perpendic...

    Text Solution

    |

  19. Let a=3hati + 2hatj + 2hatk and b= hati + 2hatj - 2hatk be two vectors...

    Text Solution

    |

  20. Let alpha epsilon R and the three vectors veca=alpha hati+hatj+3hatk, ...

    Text Solution

    |