Home
Class 11
PHYSICS
Assertion: If dot product and cross prod...

Assertion: If dot product and cross product of `vec(A)` and `vec(B)` are zero, it implies that one of the vector `vec(A)` and `vec(B)` must be a null vector.
Reason: Null vector is a vector with zero magnitude.

A

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

B

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

C

If assertion is true but reason is false

D

If the assertion and reason both are false.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • UNITS, DIMENSION & MEASUREMENTS

    ERRORLESS |Exercise All Questions|333 Videos
  • WAVES AND SOUND

    ERRORLESS |Exercise SET|25 Videos

Similar Questions

Explore conceptually related problems

Assertion : If dot product and cross product of vec(A)andvec(B) are zero, it implies that one of the vector vec(A)andvec(B) must be a null vector. Reason: Null vector is a vector with zero mangnitude.

Two vector vec(A) and vec(B) have equal magnitudes. Then the vector vec(A) + vec(B) is perpendicular :

If vec(a) and vec(b) are two unit vectors, then the vector (vec(a) + vec(b)) xx (vec(a) xx vec(b)) is parallel to

If for two vectors vec(A) and vec(B), vec(A)xxvec(B)=0 , the vectors

If the angle between two vectors vec(a) and vec(b) is zero, then :

Write the magnitude of the vector vec(a) in terms of dot product.

If vec A xx vec B = 0 , what can be said about the non-zero vectors vec A and vec B ?

If a vector vec(A) is parallel to another vector vec(B) then the resultant of the vector vec(A)xxvec(B) will be equal to

The vector product of two vectors vec A and vec B is zero. The scalar product of vec A and (vec A + vec B) will be

The sum of the three vectors shown in figure is zero. Find the magnitudes of the vectors vec(OB) and vec(OC) .

ERRORLESS -VECTORS-Exercise
  1. Assertion: Multiplying any vector by an scalar is meaningful operatons...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Assertion: The cross product of a vector with itself is a null vector....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Assertion: Vector addition is commutative. Reason: (vecA+vecB)!=(vec...

    Text Solution

    |

  8. 0.4hat(i)+0.8hat(j)+chat(k) represents a unit vector, when c is :-

    Text Solution

    |

  9. The angles with a vector hat(i)+hat(j)+sqrt(2hat(k)) makes with X,Y an...

    Text Solution

    |

  10. The value of a unit vector in the direction of vector A=5hat(i)-12hat(...

    Text Solution

    |

  11. Which of the following is independing of the choice of co-ordinate sys...

    Text Solution

    |

  12. A car travles 6km towards north at an angle of 45^(@) to the east and ...

    Text Solution

    |

  13. Given that vecA+vecB+vecC=0, out of three vectors two are equal in mag...

    Text Solution

    |

  14. Two forces F(1)=1N and F(2)=2N act along the lines x=0 and y=0, respec...

    Text Solution

    |

  15. At what angle must the two forces (x+y) and (x-y) act so that the resu...

    Text Solution

    |

  16. Following forces start acting on a particle at rest at the origin of t...

    Text Solution

    |

  17. The resultant of vec(A)+vec(B) is vec(R )(1). On reversing the vector ...

    Text Solution

    |

  18. Figure below shows a body of mass M moving with the uniform speed on a...

    Text Solution

    |

  19. A particle is moving on a circular path of radius r with uniform veloc...

    Text Solution

    |

  20. vecA=2hati+4hatj+4hatk and vecB=4hati+2hatj-4hatk are two vectors. The...

    Text Solution

    |