Home
Class 11
PHYSICS
The position of the particle is given by...

The position of the particle is given by `vec(r )=(vec(i)+2vec(j)-vec(k))` momentum `vec(P)= (3vec(i)+4vec(j)-2vec(k))`. The angular momentum is perpendicular to

A

x-axis

B

y-axis

C

z-axis

D

Line at equal angles to all the three axes

Text Solution

Verified by Experts

The correct Answer is:
A
`vec(L)= vec(r )xxvec(P)=| (hat(i),hat(j),hat(k)), (1,2,-1), (3,4,-2)|=-hat(j)-2hat(k)`
i.e., the angular momentum is perpendicular to x-axis.
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    A2Z|Exercise Problems Based On Mixed Concepts|32 Videos

  • VECTORS

    A2Z|Exercise Assertion Reasoning|17 Videos

  • VECTORS

    A2Z|Exercise Dot Product|22 Videos

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Chapter Test|28 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The position of a particle is given by vec r = hat i + 2hat j - hat k and its momentum is vec p = 3 hat i + 4 hat j - 2 hat k . The angular momentum is perpendicular to

Find the angle between the vectors : vec(a)=3vec(i)-2vec(j)+vec(k) and vec(b)=vec(i)-2vec(j)-3vec(k)

(3vec i+4vec j-5vec k)*vec i=

Find the value of: (vec j xxvec k) * (3vec i + 2vec j-vec k)

The value of lambda for two perpendicular vectors vec(A)=2vec(i)+lambdavec(j)+vec(k) and vec(B)=4vec(i)-2vec(j)-2vec(k) is :-

Examine if vec(i) - 3vec(j) + 2vec(k), 2vec(i) - 4vec(j) - vec(k) and 3vec(i) + 2vec(j) - vec(k) are linearly independent or dependent .

If the vectors 2vec(i)-qvec(j)+3vec(k) and 4vec(i)-5vec(j)+6vec(k) are collinear, the value of q is

A point on the line r=2vec i+3vec j+4vec k+t(vec i+vec j+vec k) is

The line of intersection of the planes vec r*(3vec i-vec j+vec k)=1 and vec r*(vec i+4vec j-2vec k)=2, is

A2Z-VECTORS-Cross Product
  1. The angle between Vectors (vec(A)xxvec(B)) and (vec(B)xxvec(A)) is

    Text Solution

    |

  2. What is the anlge between vec P xx vec Q and vec Q xx vec P is

    Text Solution

    |

  3. What is the unit vector perpendicular to the following Vector 2hat(i)+...

    Text Solution

    |

  4. The area of the parallelogram whose sides are represented by the vecto...

    Text Solution

    |

  5. The position of the particle is given by vec(r )=(vec(i)+2vec(j)-vec(k...

    Text Solution

    |

  6. If A=5 units,B=6 units and |vec(A)xxvec(B)|= 15 units, then what is th...

    Text Solution

    |

  7. The area of the parallelogram whose diagonals are vec(P)= 2hat(i)+3hat...

    Text Solution

    |

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

    Text Solution

    |

  9. If a vector vec(A) is parallel to another vector vec(B) then the resul...

    Text Solution

    |

  10. If vec(A)=3hat(i)+hat(j)+2hat(k) and vec(B)=2hat(i)-2hat(j)+4hat(k), t...

    Text Solution

    |

  11. Which of the following is the unit vector perpendicular to vec(A) and ...

    Text Solution

    |

  12. The angle between the vector vec(A) and vec(B) is theta. Find the valu...

    Text Solution

    |

  13. The angle between vectors (vec(A)xxvec(B)) and (vec(B)xxvec(A)) is

    Text Solution

    |

  14. The angle between Vectors (vec(A)xxvec(B)) and (vec(B)xxvec(A)) is

    Text Solution

    |

  15. Two vector vec(A) and vec(B) have equal magnitudes. Then the vector ve...

    Text Solution

    |

  16. The value of (vec(A)+vec(B))xx(vec(A)-vec(B)) is

    Text Solution

    |

  17. Two adjacent sides of a parallelogram are respectively by the two vect...

    Text Solution

    |

  18. The vector from origion to the point A and B are vec(A)=3hat(i)-6hat(j...

    Text Solution

    |

  19. What is the unit vector perpendicular to the following Vector 2hat(i)+...

    Text Solution

    |

  20. If |vec(A)xxvec(B)|=sqrt(3)vec(A).vec(B), then the value of |vec(A)+ve...

    Text Solution

    |