Home
Class 11
PHYSICS
If |vec(A)xxvec(B)|=|vec(A).vec(B)|, the...

If `|vec(A)xxvec(B)|=|vec(A).vec(B)|`, then the angle between `vec(A)` and `vec(B)` will be

A

`30^(@)`

B

`45^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`|vec(A)xxvec(B)|= vec(A)*vec(B) implies AB sin theta = AB cos thetaimplies tan theta= 1`
`:. theta= 45^(@)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If vec(A)xxvec(B)=vec(B)xxvec(A) , then the angle between vec(A) and vec(B) is-

Assertion: If |vec(A)+vec(B)|=|vec(A)-vec(B)| , then angle between vec(A) and vec(B) is 90^(@) Reason: vec(A)+vec(B)= vec(B)+vec(A)

If A=5 units,B= 6 units and |vec(A)xxvec(B)|= 15 units , then what is the angle between vec(A) and vec(B) ?

If |vec a xxvec b|=|vec a*vec b|, then find angle between vec a and vec b

The angle between vec(A)+vec(B) and vec(A)xxvec(B) is

If |vec A+ vec B| = |vec A| + |vec B | , then angle between A and B will be

Assertion: vec(A)xxvec(B) is perpendicualr to both vec(A)-vec(B) as well as vec(A)-vec(B) Reason: vec(A)xxvec(B) as well as vec(A)-vec(B) lie in the plane containing vec(A) and vec(B) , but vec(A)xxvec(B) lies perpendicular to the plane containing vec(A) and vec(B) .

If vec a, and vec b be two non-collinear unit vector such that vec a xx(vec a xxvec b)=(1)/(2)vec b, then find the angle between vec a, and vec b

Assertion : vec(A)xxvec(B) is perpendicular to both vec(A)+vec(B) as well as vec(A)-vec(B) . Reason: vec(A)+vec(B) as well as vec(A)-vec(B) lie in the plane contanining vec(A)and vec(B) , but vec(A)xxvec(B) lies perpendicular to the plane containing A and B.

A2Z-VECTORS-Problems Based On Mixed Concepts
  1. A person pushes a box kept on a horizontal surface with force of 100 N...

    Text Solution

    |

  2. An object of m kg with speed of v m s^(-1) strikes a wall at an angle ...

    Text Solution

    |

  3. If |vec(A)xxvec(B)|=|vec(A).vec(B)|, then the angle between vec(A) and...

    Text Solution

    |

  4. Three vector vec(A),vec(B), vec(C ) satisfy the relation vec(A)*vec(B)...

    Text Solution

    |

  5. A body is in equilibrium under the action of three coplanar forces P,Q...

    Text Solution

    |

  6. As shown in figure the tension in the horizontal cord is 30 N. The wei...

    Text Solution

    |

  7. A particle is moving eastwards with a velocity of 5 ms(-1). In 10 sec...

    Text Solution

    |

  8. A metal sphere is hung by a string fixed to a wall. The sphere is push...

    Text Solution

    |

  9. Consider east as positive x-axis, north as positive y-axis and vertica...

    Text Solution

    |

  10. In a methane (CH(4) molecule each hydrogen atom is at a corner of a re...

    Text Solution

    |

  11. If the resultant of two forces of magnitudes p and 2p is perpendicular...

    Text Solution

    |

  12. Consider east as positive x-axis, north as positive y-axis. A girl wal...

    Text Solution

    |

  13. A car moving on a straight road due north with a uniform speed of 50 k...

    Text Solution

    |

  14. What is the angle between (vec(P)+vec(Q)) and (vec(P)xxvecQ)?

    Text Solution

    |

  15. In x-y plane, a force 10 N acts at an angle 30^(@) to the positive dir...

    Text Solution

    |

  16. A sail boat sails 2km due east, 5km 37^(@) south of east, and finally ...

    Text Solution

    |

  17. Vectors vecA and vecB include an angle theta between them. If (vecA + ...

    Text Solution

    |

  18. The position vectors of two balls are given by vec(r )(1)=2 (m)i+7(m...

    Text Solution

    |

  19. A particle whose speed is 50ms^(-1) moves along the line from A(2,1) t...

    Text Solution

    |

  20. A particle travels with speed 50ms^(-1) from the point (3,-7) in a dir...

    Text Solution

    |