Home
Class 12
MATHS
If |bar(a).bar(b)|=3 and |bar(a)xx bar(b...

If `|bar(a).bar(b)|=3` and `|bar(a)xx bar(b)|=4` then the angle between `bar(a)` and `bar(b)` is ………………

A

`cos^(-1)""(3)/(4)`

B

`cos^(-1)""(3)/(5)`

C

`cos^(-1)""(4)/(5)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-A)|6 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-B)|4 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|5 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

For unit vectors bar(a) and bar(b) , if bar(a)+2bar(b) and 5bar(a)-4bar(b) are perpendicular to each other then the angle between bar(a) and bar(b) is ………….

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

If |bar(a)+bar(b)|=|bar(a)-bar(b)| , then the vectors bar(a) and bar(b) are orthogonal.

(bar(a)xx bar(b))^(2) = ……………..

bar(a),bar(b) and bar( c ) are unit vectors. bar(a).bar(b)=0=bar(a).bar( c ) and the angle between bar(b) and bar( c ) is (pi)/(3) . Then |bar(a)xx bar(b)-bar(a)xx bar( c )|= …………..

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

bar(a)=2hati+hatj-2hatk and bar(b)=hati+hatj . The vector bar( c ) is such that bar(a)*bar( c )=|bar( c )|,|bar( c )-bar(a)|=2sqrt(2) and the angle between bar(a)xx bar(b) and bar( c ) is 30^(@) then |(bar(a)xx bar(b))xx bar( c )| = …………

If (|veca+vecb|)/(|veca-vecb|)=1 , then angle between bar(a)" and "bar(b) is :-

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

bar(a)=a_(1)hati+a_(2)hatj+a_(3)hatk,bar(b)=b_(1)hati+b_(2)hatj+b_(3)hatk,bar( c )=c_(1)hati+c_(2)hatj+c_(3)hatk are three non zero vectors. The unit vector bar( c ) is perpendicular to bar(a) and bar(b) . The angle between bar(a) and bar(b) is (pi)/(6) then, |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}| = .............

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. The unit vector perpendicualr to both the vectors hati+2hatj-2hatk and...

    Text Solution

    |

  2. A(-1, 2, 3), B(1, 1, 1) and C(2, -1, 3) are three points in the plane....

    Text Solution

    |

  3. If |bar(a).bar(b)|=3 and |bar(a)xx bar(b)|=4 then the angle between ba...

    Text Solution

    |

  4. bar( r )xx bar(a)=bar(b)xx bar(a),bar( r )xx bar(b)=bar(a)xx bar(b),ba...

    Text Solution

    |

  5. (bar(a)xx bar(b))^(2) = ……………..

    Text Solution

    |

  6. |bar(a)|=2,|bar(b)|=3 and bar(a) and bar(b) are perpendicular to each ...

    Text Solution

    |

  7. bar(a)=hati+hatj+hatk,bar(b)=hati+3hatj+5hatk and bar( c )=7hati+9hatj...

    Text Solution

    |

  8. In DeltaABC, the bisector of angleA is bar(AD). bar(AD)=alpha bar(AB...

    Text Solution

    |

  9. The vector bar(a)=(x,y,z) makes an obtuse angle with y- axis. bar(b)=(...

    Text Solution

    |

  10. The vectors bar(a) and bar(b) are unit vectors perpendicular to each o...

    Text Solution

    |

  11. bar(a),bar(b) and bar( c ) are unit vectors. bar(a).bar(b)=0=bar(a).ba...

    Text Solution

    |

  12. The modulus of the vectors bar(a) and bar(b) are 2 and 3 respectively....

    Text Solution

    |

  13. For a vector bar(a),bar(a)xx vec( r )=bar(j) then bar(a).bar( r ) = ……...

    Text Solution

    |

  14. If bar(mu)=bar(a)-bar(b),bar(v)=bar(a)+bar(b),|bar(a)|=|bar(b)|=2 then...

    Text Solution

    |

  15. In a parallelogram ABCD, vec(AB)=hati+hatj+hatk and diagonal vec(AC)=h...

    Text Solution

    |

  16. The points A(vec(a)),B(vec(b)) and C(vec( c )) are collinear then …………...

    Text Solution

    |

  17. For any vectors vec(a),vec(b) and vec( c ). Out of the following, whic...

    Text Solution

    |

  18. bar(a)=2hati+hatj-2hatk and bar(b)=hati+hatj. The vector bar( c ) is s...

    Text Solution

    |

  19. In a quadrilateral ABCD, vec(AB)=vec(b),vec(AD)=vec(d) and vec(AC)=m v...

    Text Solution

    |

  20. If vec(a)=2hati+hatj+x hatk and vec(b)=hati+hatj-hatk then the minimum...

    Text Solution

    |