Home
Class 12
MATHS
If the vectors a, b and c are complanar,...

If the vectors a, b and c are complanar, then `|{:(1, b, c),(a*a, a*b,a*c),(b*a,b*b,b*c):}|` is equal to

Text Solution

Verified by Experts

The correct Answer is:
F
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (MULTIPLE CHOICE QUESTIONS) |104 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (MULTIPLE CHOICE QUESTIONS) |165 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

If the vectors a, b and c are coplanar, then |{:(a, b, c),(a*a, a*b,a*c),(b*a,b*b,b*c):}| is equal to

|{:(a,b,c),(b,c,a),(c,a,b):}| is equal to

For any three vectors a,b and c prove that ["a b c"]^(2)=|(a*a,a*b,a*c),(b*a,b*b,b*c),(c*a,c*b,c*c)|

Suppose a, b, c are three non-coplanar vectors. Suppose Delta=|{:(a*a, a* b, a*c), (b*a, b*b, b*c), (c*a, c*b, c*c):}| If Delta=[a b c]^(r)" then " r= _______

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (TRUE AND FALSE)
  1. Prove by vector method, that in a right-angled triangle ABC, AB^(2) + ...

    Text Solution

    |

  2. Prove using vectors: The median to the base of an isosceles triangl...

    Text Solution

    |

  3. (i) If |a + b| = |a -b|, then a and b are parallel. True or False

    Text Solution

    |

  4. If |a|=a and | vec b|=b , prove that ( vec a/( vec a^2)- vec b/(b^2))^...

    Text Solution

    |

  5. If the vectors a, b and c are complanar, then |{:(1, b, c),(a*a, a*b,a...

    Text Solution

    |

  6. Prove that |axxb|^2 =a^2b^2 - (a.b)^2

    Text Solution

    |

  7. If a , b, c be the vectors determined by sides BC, CA and AB of a tria...

    Text Solution

    |

  8. Prove (i) r = (r.i) i+(r.j)j+(r.k)k (ii) ixx(axxi) +jxx(axxj)+kx...

    Text Solution

    |

  9. The ratio of lengths of diagonals of the parallelogram constructed on ...

    Text Solution

    |

  10. A vector of magnitude 9 perpendicular to both the vectors a = 4i - j+k...

    Text Solution

    |

  11. The area of a parallelogram constructed on the vectors a +3b and 3a +b...

    Text Solution

    |

  12. Let a = i +2j -3k and b = 2i +j-k then the vector r satisfying a xx r ...

    Text Solution

    |

  13. If a, b, c, are non-zero vectors such that a xx b = b xx c then a + c ...

    Text Solution

    |

  14. If T(p), T(q) and T(r) of a G.P. are +ive numbers a, b, c respectively...

    Text Solution

    |

  15. In a triangle ABC, cos 3A + Cos 2B + cos 2C ge -3//2 . True or Fals...

    Text Solution

    |

  16. For any two vectors u and v, find if (1+|u|^(2))(1+|v|^(2)) = (1-u....

    Text Solution

    |

  17. Using dot product of vectors; prove that a parallelogram; whose diagon...

    Text Solution

    |

  18. If AC and BD are the diagonals of a quadrilateral ABCD, prove that its...

    Text Solution

    |

  19. IF a quadrilateral ABCD is such that vecAB = b, vecAD = d and vecAC = ...

    Text Solution

    |

  20. If a and b are non-collinear, then the point of intersectioon of the ...

    Text Solution

    |