Home
Class 12
MATHS
The angle between the unit vectors bar(a...

The angle between the unit vectors `bar(a)` and `bar(b)` is `theta`. If `bar(a)-sqrt(2)bar(b)` is a unit vector then `theta` = …………

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(2pi)/(3)`

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

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

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 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 for unit vectors bar(a) and bar(b),bar(a)+2bar(b) and 5bar(a)-4bar(b) are perpendicular to each other, then (bar(a)^^bar(b))=

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 )) = …………….

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

If the unit bar(a),bar(b) and bar( c ) are coplanar then …………..

bar(x) and bar(y) are unit vectors and the angle between them is theta . If theta = …………….. Then bar(x)+bar(y) is a unit vector.

bar(a) and bar(b) are unit vectors. |bar(a)+bar(b)|=sqrt(3) then the value of (3bar(a)-4bar(b)).(2bar(a)+5bar(b)) = ……………

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. For vectors bar(a),bar(b),bar( c ),|bar(a)-bar( c )|=|bar(b)-bar( c )|...

    Text Solution

    |

  2. A unit vector is coplanner with bar(i)+bar(j)+2bar(k) and bar(i)+2bar(...

    Text Solution

    |

  3. The angle between the unit vectors bar(a) and bar(b) is theta. If bar(...

    Text Solution

    |

  4. For unit vectors bar(a) and bar(b), if bar(a)+2bar(b) and 5bar(a)-4bar...

    Text Solution

    |

  5. bar(a)=2bar(i)-3bar(j)+6bar(k) and bar(b)=-2bar(i)+2bar(j)-bar(k) then...

    Text Solution

    |

  6. bar(b)=3hatj+4hatk,bar(a)=hati+hatj. If bar(b(1)) and bar(b(2)) are co...

    Text Solution

    |

  7. The unit vector bar(a) and bar(b) are perpendicualr to each other. The...

    Text Solution

    |

  8. Vector bar(a)=6hati-3hatj,bar(b)=2hati-6hatj and bar( c )=-2hati+21hat...

    Text Solution

    |

  9. bar(a),bar(b) and bar( c ) are unit vectors. The value of |bar(a)-bar(...

    Text Solution

    |

  10. If bar(a),bar(b) and bar( c ) are perpendicualr to bar(b)+bar( c ),bar...

    Text Solution

    |

  11. bar(a) and bar(b) are unit vectors. |bar(a)+bar(b)|=sqrt(3) then the v...

    Text Solution

    |

  12. DeltaABC is an equilateral triangle. Its side is l. Any point P lies o...

    Text Solution

    |

  13. vec(a)=2hati+hatj+hatk and vec(b)=hati-hatj-hatk are the adjacent side...

    Text Solution

    |

  14. The position vectors of four points A, B, C and D in the plane are vec...

    Text Solution

    |

  15. If vec(alpha)=(1)/(a)hati+(4)/(b)hatj+b hatk and vec(beta)=b hati+a ha...

    Text Solution

    |

  16. The unit vectors vec(a),vec(b) and vec( c ) are not coplanar. If vec(a...

    Text Solution

    |

  17. If vec(x)+vec(y)+vec(z)=0 and |vec(x)|=|vec(y)|=|vec(z)|=2 If the angl...

    Text Solution

    |

  18. vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk,vec( c )=hati+hatj-2hatk...

    Text Solution

    |

  19. vec(a)=hati+hatj+sqrt(2)hatk,vec(b)=b(1)hati+b(2)hatj+sqrt(2)hatk and ...

    Text Solution

    |

  20. vec(a)=2hati+lambda(1)hatj+3hatk,vec(b)=4hati+(3-lambda(2))hatj+6hatk ...

    Text Solution

    |