Home
Class 12
MATHS
The angle between the vectors (2,-1,1) a...

The angle between the vectors `(2,-1,1)` and `(1,-1,2)` is ……………

A

`cos^(-1)((1)/(6))`

B

`sin^(-1)((5)/(6))`

C

`(pi)/(2)`

D

`sin^(-1)((sqrt(11))/(6))`

Text Solution

Verified by Experts

The correct Answer is:
D
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 angle between the unit vectors vec(a) and vec(b) is 2theta . Where theta in [0,pi] . If |vec(a)-vec(b)|lt 1 then theta in …………… interval.

If the distance between the points (a, 2, 1) and (1, -1, 1) is 5, then a ____ .

The unit vector perpendicular to both the vectors (3, -1, 0) and (-2, 1, 3) is …………..

If the angle between the unit vectors vec(a) and vec(b) is theta then prove that sin""(theta)/(2)=(1)/(2)|hata-hatb| .

The projection of the vector (-4,-2,4) on (2,1,1) is ………….

Assertion: The angle between the two vectors (hati+hatj) and (hatj+hatk) is (pi)/(3) radian. Reason: Angle between two vectors vecA and vecB is given by theta=cos^(-1)((vecA.vecB)/(AB))

The angle between the vectors (hati+hatj) and (2^(1/2)hatj+hatk)) is

The angle between vecF =(1,-3, 1) and vecd =(2,-3,-11) will b e ...... rad.

The magnitude of the projection of vector (4, 1, 3) and (1, -2, 3) is …………….

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. The unit vector perpendicular to both the vectors (3, -1, 0) and (-2, ...

    Text Solution

    |

  2. The area of the parallelogram with diagonals hati+hatj and hatj+hatk i...

    Text Solution

    |

  3. The angle between the vectors (2,-1,1) and (1,-1,2) is ……………

    Text Solution

    |

  4. If |bar(x)|=7.|bar(y)|=sqrt(2),bar(x)xx bar(y)=(6,2,3) then |bar(x).ba...

    Text Solution

    |

  5. The unit vector perpendicualr to both the vectors hati+2hatj-2hatk and...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. (bar(a)xx bar(b))^(2) = ……………..

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |