Home
Class 11
PHYSICS
Assertion: vec(A)xxvec(B) is perpendicua...

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)`.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion

C

If assertion is true but reason is false.

D

If both aseertion and reason are false.

Text Solution

Verified by Experts

The correct Answer is:
A

Cross product of two vectors is perpendicular to the plane containing both the Vectors.
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    A2Z|Exercise NEET Questions|12 Videos
  • VECTORS

    A2Z|Exercise Chapter Test|29 Videos
  • VECTORS

    A2Z|Exercise Problems Based On Mixed Concepts|32 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

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.

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

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) .

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

Vector product of three vectors is given by vec(A)xx(vec(B)xxvec(C))=vec(B)(vec(A).vec(C))-vec(C)(vec(A).vec(B)) The plane of vector vec(A)xx(vec(A)xxvec(B)) lies in the plane of

vec a, vec b, vec c, dare any four vectors then (vec a xxvec b) xx (vec c xxvec d) is a vector Perpendicular to vec a, vec b, vec c, vec d

vec r xxvec a = vec b xxvec a, vec r xxvec b = vec a xxvec b, vec a! = 0, vec b! = 0, vec b! = lambdavec a, vec a is not perpendicular to vec b then vec r is

if vec a xxvec b = vec c and vec b xxvec c = vec a then

If vec a and vec b be two perpendicular units such that vec x=vec b-(vec a xxvec x), then |vec x| is

vec b,vec c are unit vectors and |vec a|=7vec a xx(vec b xxvec c)+vec b xx(vec c xxvec a)=(1)/(2)vec a then the angle between vec a and vec a is

A2Z-VECTORS-Assertion Reasoning
  1. Assertion: Two vectors are said to be like vectors if they have same d...

    Text Solution

    |

  2. Assertion: Two vectors are said to be equal if , and only if, they hav...

    Text Solution

    |

  3. Assertion: A null Veactor is a vector whose magnitude is zero and dire...

    Text Solution

    |

  4. Assertion: The difference of two vectors A and B can be treated as the...

    Text Solution

    |

  5. Assertion: Vector addition is commutative. Reason: Two vectors may b...

    Text Solution

    |

  6. Assertion: The some of two Vectors can be zero. Reason: The vector c...

    Text Solution

    |

  7. Assertion: Minimum number of non-equal Vectors in a plane required to ...

    Text Solution

    |

  8. Assertion: The minimum number of non-coplanar Vectors whose sum can be...

    Text Solution

    |

  9. Assertion: vec(A)xxvec(B) is perpendicualr to both vec(A)-vec(B) as we...

    Text Solution

    |

  10. Assertion: Angle between hat(i)+hat(j) and hat(i) is 45^(@). Reason:...

    Text Solution

    |

  11. Assertion: If |vec(A)+vec(B)|=|vec(A)-vec(B)|, then angle between vec(...

    Text Solution

    |

  12. Assertion: The scalar product of two vectors can be zero Reason: If...

    Text Solution

    |

  13. Assertion: If vec(A).vec(B)= vec(B).vec(C ), then vec(A) may not alway...

    Text Solution

    |

  14. Assertion: If theta be the angle between vec(A) and vec(B), then tan...

    Text Solution

    |

  15. Assertion: Vector product of two vectors is an axial vector. Reason:...

    Text Solution

    |

  16. Assertion: vectau=vec(r)xxvec(F) and vectau!=vec(F)xxvec(r ) Reason:...

    Text Solution

    |

  17. Assertion: If dot product and cross product of vec(A) and vec(B) are z...

    Text Solution

    |