Home
Class 11
PHYSICS
Assertion: If vec(A).vec(B)= vec(B).vec(...

Assertion: If `vec(A).vec(B)= vec(B).vec(C )`, then `vec(A)` may not always be equal to `vec(C )`.
Reason: The dot product of two vectors involves consine of the angle between the two vectors.

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:
A
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

The vectors vec A and vec B are such that |vec A + vec B | = |vec A - vec B| . The angle between the two vectors is

If vec(a).vec(b)=|vec(a)xx vec(b)| , then angle between vector vec(a) and vector vec(b) is :

Assertion: If |vec(A)+vec(B)|=|vec(A)-vec(B)| , then angle between vec(A) and vec(B) is 90^(@) Reason: vec(A)+vec(B)= vec(B)+vec(A)

Let vec(a) and vec(b) be two unit vectors and theta is the angle between them. Then vec(a)+vec(b) is a unit vector if :

The resultant of two vectors vec(A) and vec(B) is perpendicular to the vector vec(A) and its magnitudes is equal to half of the magnitudes of vector vec(B) (figure). The angle between vec(A) and vec(B) is

vec(A)and vec(B) are the two vectors such that ratio their dot product to magnitude of their cross product is (1)/(sqrt3) . Then the angle between vec(A)and vec(B) is

If two vectors vec a,vec b are such that |vec a*vec b|=|vec a xxvec b| then angle between them is

The resultant of two vectors vec A and vec B perpendicular to the vector vec A and its magnitude id equal to half of the magnitude of the vector vec B . Find out the angle between vec A and vec B .

For any two vectors A and B, if vec(A).vec(B) = |vec(A) xx vec(B)| , the magnitude of vec(C ) = vec(A) + vec(B) is equal to :

If vec a and vec b are two non-zero vectors such that |vec a xxvec b|=vec a*vec b, then angle between vec a and vec b

ERRORLESS -VECTORS-Exercise
  1. Assertion: The cross product of a vector with itself is a null vector....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 0.4hat(i)+0.8hat(j)+chat(k) represents a unit vector, when c is :-

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If vecA=2hati+3hatj-hatk and vecB=-hati+3hatj+4hatk then projection of...

    Text Solution

    |

  19. Two constant forces F(1)=2hati-3hatj+3hatk(N) and F(2)=hati+hatj-2hatk...

    Text Solution

    |

  20. For the any two vecrtors vecA and vecB, if vecA.vecB=|vecAxxvecB|, the...

    Text Solution

    |