Home
Class 11
PHYSICS
Assertion: The scalar product of two vec...

Assertion: The scalar product of two vectors can be zero
Reason: If two vectors are perpendicular to each other their scalar product will be zero.

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

If `theta` be the angle between two vectors `vec(A)` and `vec(B)`, then their scalar product, `vec(A).vec(B)= AB cos theta`
If `theta= 90^(@)` then `vec(A).vec(B)=0`
i.e., if `vec(A)` and `vec(B)` are perpendicular to each other then their scalar product will be Zero.
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

Define scalar produt of two vectors.

Scalar product of vectors

If two non-zero vectors are perpendicular to each other then their Scalar product is equal to ?

Can the scalar produt of two vectors be begative ?

The scalar triple product of vectors is zero if______

Assertion: The some of two Vectors can be zero. Reason: The vector cancel each other, when they are equal and opposite.

Can the resultant of two vectors be zero ?

Scalar product OF vector & properties

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

    |