Home
Class 12
MATHS
The value of the expression |bar(a)xx ba...

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

Text Solution

Verified by Experts

The correct Answer is:
`=|bar(a)|^(2).|bar(b)|^(2)`
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

(bar(a)xx bar(b))^(2) = ……………..

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

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

bar(a)xx[bar(a)xx(bar(a)xx bar(b))] = …………….

bar(a),bar(b) and bar( c ) are unit vectors. The value of |bar(a)-bar(b)|^(2)+|bar(b)-bar( c )|^(2)+|bar( c )-bar(a)|^(2) is not expected ………………

If bar(a),bar(b),bar( c ) and bar(d) are coplanar vectors then (bar(a)xx bar(b))xx(bar( c )xx bar(d)) = …………..

|bar(a)|=2,|bar(b)|=3 and bar(a) and bar(b) are perpendicular to each other. The area of the triangle with vertices bar(0),bar(a)+bar(b) and bar(a)-bar(b) is ……………

bar(a)=hati+hatj+hatk,bar(b)=hati+3hatj+5hatk and bar( c )=7hati+9hatj+11hatk are vectors. The area of the parallelogram whose diagonals are bar(a)+bar(b) and bar(b)+bar( c ) is …………..

The number of vectors of unit length perpendicular to the vectors bar(a)=2bar(i)+bar(j)+2bar(k) and bar(b)=bar(j)+bar(k) is ………….

The vectors bar(a) and bar(b) are perpendicular then bar(a)xx{bar(a)xx{bar(a)xx(bar(a)xx bar(b))}} = ………….

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

    |