Home
Class 11
PHYSICS
The angle between the vector vec(A) and ...

The angle between the vector `vec(A)` and `vec(B)` is `theta`. Find the value of triple product `vec(A).(vec(B)xxvec(A))`.

A

`A^(2) B`

B

Zero

C

`A^(2) B sin theta`

D

`A^(2) B cos theta`

Text Solution

Verified by Experts

The correct Answer is:
B

`(vec(B) xx vec(A)) is _|_^(ar) to vec(B)` as well as `vec(A)`.
`vec(A) . ( vec(B) xx vec(A)) = 0`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    CP SINGH|Exercise Excercises|66 Videos
  • UNITS, DIMENIONS AND MEASUREMENTS

    CP SINGH|Exercise Exercises|63 Videos
  • WORK, ENERGY AND POWER

    CP SINGH|Exercise EXERCISES|92 Videos

Similar Questions

Explore conceptually related problems

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

If the angle between the vectors vec A and vec B is theta , the value of the product (vec B xx vec A) cdot vec A is equal to

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

The angle between vectors vec(A) and vec(B) is 60^@ What is the ratio vec(A) .vec(B) and |vec(A) xxvec(B)|

Two vectors vec(A) & vec(B) are given such that angle between (vec(A)+vec(B)) and (vec(A)-vec(B)) is 90^(@) then find the value of (|vec(A)|)/(2|vec(A)|+|vec(B)|) ?

The value of (vec(A)+vec(B)).(vec(A)xxvec(B)) is :-

Statement-I : The angle between vectors vec(A)xxvec(B) and vec(B)xxvec(A) is pi radian. Statement-II : vec(B)xxvec(A)=-vec(A)xx vec(B)

Find the angle between two vectors vec a and vec b, if |vec a xxvec b|=vec a*vec b

Find the angle between two vectors vec a and vec b, if |vec a xxvec b|=vec avec b

Assertion: If theta be the angle between vec(A) and vec(B) , then tan theta= (vec(A)xxvec(B))/(vec(A).vec(B)) Reason: vec(A)xxvec(B) is perpendicualr to vec(A).vec(B) .

CP SINGH-VECTORS-Excercises
  1. If a vector 2 hat (i) + 3 hat(j) + 8 hat(k) is perpendicular to the ve...

    Text Solution

    |

  2. Which of the following vectors is//are perpendicular to the vector 4 I...

    Text Solution

    |

  3. If vec(A) = 2 I + j - k , vec(B) = I + 2 j + 3 k , and vec(C ) = 6 i -...

    Text Solution

    |

  4. Vectors which is perpendicular to ( a cos theta hat (i) + b sin theta ...

    Text Solution

    |

  5. Two vectors vec A and vecB have equal magnitudes.If magnitude of (vecA...

    Text Solution

    |

  6. The position vector of a particle is vec( r) = a cos omega t i + a sin...

    Text Solution

    |

  7. The component of vector A= 2hat(i)+3hat(j) along the vector hat(i)+hat...

    Text Solution

    |

  8. The vector component of vector vec(A) = 3 hat(i) + 4 hat(j) + 5 hat(k)...

    Text Solution

    |

  9. If vec(A)xxvec(B)=vec(C ), then which of the following statements is w...

    Text Solution

    |

  10. The magnitude of the vectors product of two vectors |vecA| and |vecB| ...

    Text Solution

    |

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

    Text Solution

    |

  12. A vector vec(A) is along the positive x- axis . If B is another vector...

    Text Solution

    |

  13. A vector vec(A) points verically upward and vec(B) points towards nort...

    Text Solution

    |

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

    Text Solution

    |

  15. The scalar product of two vectors is 2 sqrt(3) and the magnitude of th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. What is the unit vector perpendicular to the following vectors 2 hat(i...

    Text Solution

    |

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

    Text Solution

    |

  20. The minimum number of vectors having different planes which can be add...

    Text Solution

    |