Home
Class 12
MATHS
If bar(a),bar(b) and bar( c ) are three ...

If `bar(a),bar(b)` and `bar( c )` are three vectors such that `bar(a)+bar(b)+bar( c )=bar(0)` and `|bar(a)|=2,|bar(b)|=3` and `|bar( c )|=5`, then the value of `bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a)` is ………..

A

0

B

1

C

`-19`

D

38

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|5 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )|171 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|17 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

If bar(a),bar(b) and bar( c ) are unit vectors such that bar(a)+bar(b)+bar( c )=bar(0) , then the value of bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a)=…………

bar(a),bar(b) and bar( c ) are non zero vectors. |(bar(a)xx bar(b))*bar( c )|=|bar(a)||bar(b)||bar( c )| then ……………

If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a)= ……………

If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a) = ……………

[bar(a)xx bar(b)" "bar(a)xx bar( c )" "bar(d)] = …………….

If |bar(a)|=10,|bar(b)|=2 and bar(a).bar(b)=12 then the value of |bar(a)xx bar(b)| is …………

bar(a),bar(b) and bar( c ) are three unit vectors. bar(a)_|_bar(b) and bar(a)||bar( c ) then bar(a)xx(bar(b)xx bar( c )) = …………….

If the unit vectors bar(a),bar(b) and bar( c ) are coplanar then [2bar(a)-bar(b),2bar(b)-bar( c ),2bar( c )-bar(a)] = ……

For vectors bar(a),bar(b),bar( c ),|bar(a)-bar( c )|=|bar(b)-bar( c )| then the value (bar(b)-bar(a)).(bar( c )-(bar(a)+bar(b))/(2))= ………..

If bar(a),bar(b) and bar( c ) are not coplanar then (bar(a)+bar(b)+bar( c ))*[(bar(a)+bar(b)) times (bar( a )+bar(c))] = ……………

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Objective type Questions)
  1. The angle between two vectors a and b with magnitudes sqrt(3) and 4, r...

    Text Solution

    |

  2. Find the value of lambda such that the vectors bar(a)=2bar(i)+lambda b...

    Text Solution

    |

  3. The value of lambda for which the vectors 3bar(i)-6bar(j)+bar(k) and 2...

    Text Solution

    |

  4. The vectors from origin to the points A and B are bar(a)=2bar(i)-3bar(...

    Text Solution

    |

  5. bar(a)=2bar(i)-3bar(j)+2bar(k) and bar(b)=2bar(i)+3bar(j)+bar(k) are t...

    Text Solution

    |

  6. For any vector bar(a), the value of (bar(a)xx i)^(2)+(bar(a)xx j)^(2)+...

    Text Solution

    |

  7. If |bar(a)|=10,|bar(b)|=2 and bar(a).bar(b)=12 then the value of |bar(...

    Text Solution

    |

  8. The vectors lambda bar(i)+bar(j)+2bar(k),bar(i)+lambda bar(j)-bar(k) a...

    Text Solution

    |

  9. If bar(a),bar(b) and bar( c ) are unit vectors such that bar(a)+bar(b)...

    Text Solution

    |

  10. The projection vector of bar(a) on bar(b) is ………….

    Text Solution

    |

  11. If bar(a),bar(b) and bar( c ) are three vectors such that bar(a)+bar(b...

    Text Solution

    |

  12. If |bar(a)|=4 and -3le lambda le 2, then the range of |lambda. bar(a)|...

    Text Solution

    |

  13. The number of vectors of unit length perpendicular to the vectors bar(...

    Text Solution

    |

  14. The vector (bar(a)+bar(b)) bisects the angle between the non-collinear...

    Text Solution

    |

  15. If bar( r ).bar(a)=0,bar( r ).bar(b)=0 and bar( r ).bar( c )=0 for som...

    Text Solution

    |

  16. The vectors bar(a)=3bar(i)-2bar(j)+2bar(k) and bar(b)=-bar(i)-2bar(k) ...

    Text Solution

    |

  17. The values of k, for which |k.bar(a)|lt |bar(a)| and k.bar(a)+(1)/(2)b...

    Text Solution

    |

  18. The value of the expression |bar(a)xx bar(b)|^(2)+(bar(a).bar(b))^(2) ...

    Text Solution

    |

  19. If |bar(a)xx bar(b)|^(2)+|bar(a).bar(b)|^(2)=144 and |bar(a)|=4, then ...

    Text Solution

    |

  20. If bar(a) is any non-zero vector, then (bar(a).bar(i)).bar(i)+(bar(a...

    Text Solution

    |