Home
Class 12
PHYSICS
State whether the following relations ar...

State whether the following relations are true or false
(1)`vec(AB)=vec(BA)`
(2)`vec(AB)=-vec(BA)`
(3)`|vec(AB)|=|vec(BA)|`
(4)`|vec(AB)|=|-vec(AB)|`
(5)`hatj=hatk`
(6)`|hatj|=|hatk|`

Text Solution

Verified by Experts

The correct Answer is:
(i) False (ii) True (iii) True (iv) True (v) False (vi) True
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN|Exercise Basic Maths (Units, Dimensions & Measurements)|33 Videos
  • RACE

    ALLEN|Exercise Basic Maths (KINEMATICS)|59 Videos
  • RACE

    ALLEN|Exercise Basic Maths (Co-ordinate & Algebra)|39 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

In a quadrilateral ABCD, vec(AB) + vec(DC) =

If ABCDEF is a regular hexagon, prove that vec(AC)+vec(AD)+vec(EA)+vec(FA)=3vec(AB)

In a right angled triangle hypotenuse AC= p, then vec(AB). vec(AC ) + vec(BC) .vec(BA) + vec(CA). vec(CB) equal to ?

In a triangle ABC, if taken in order, consider the following statements 1. vec(AB) + vec(BC) + vec(CA) = vec(0) 2 vec(AB) + vec(BC) - vec(CA) = vec(0) 3. vec(AB)- vec(BC) + vec(CA) = vec(0) 4. vec(BA)- vec(BC) + vec(CA) = vec(0) How many of the above statements are correct?

In /_\ABC whch of the folloiwng is not true? vec(AB)+vec(BC)+vec(CA)=0 (A) vec(AB)+vec(BC)+vec(CA)=0 (B) vec(AB)+vec(BC)-vec(AC)=0 (C) vec(AB)+vec(BC)-vec(CA)=0 (D) vec(AB)-vec(CB)+vec(CA)=0

In Fig. ABCDEF is a ragular hexagon. Prove that vec(AB) +vec(AC) +vec(AD) +vec(AE) +vec(AF) = 6 vec(AO) .

Prove that (vec(A) +2vec(B)) .(2vec(A) - 3vec(B)) = 2A^(2) +AB cos theta - 6B^(2) .

Prove that (vec(A)+2vec(B)).(2vec(A)-3vec(B))=2A^(2)+AB cos theta-6B^(2) .

If ABCDE is a pentagon, then vec(AB) + vec(AE) + vec(BC) + vec(DC) + vec(ED) + vec(AC) is equal to

ABCDE is a pentagon prove that vec(AB)+vec(BC)+vec(CD)+vec(DE)+vec(EA)=vec0

ALLEN-RACE-Basic Maths (VECTORS)
  1. State whether the following relations are true or false (1)vec(AB)=v...

    Text Solution

    |

  2. State whether the following statements are true or false :- (1) Magn...

    Text Solution

    |

  3. The magnitude of a vector cannot be :

    Text Solution

    |

  4. Which of the following group of foces cannot produce the resultant of ...

    Text Solution

    |

  5. Which of the following group of concurrent forces may be in equilibriu...

    Text Solution

    |

  6. Which of the following group of forces cannot produce zero resultan?

    Text Solution

    |

  7. Figure shows three vectors veca,vecb and vecc. If bar(RQ)=2bar(PR), wh...

    Text Solution

    |

  8. 100 coplanar forces each equal to 10 n act on a body. Each force makes...

    Text Solution

    |

  9. With respect to a rectangular cartesian coordinate system, three vecto...

    Text Solution

    |

  10. There are two force vectors, one of 5N and other of 12N. At what angle...

    Text Solution

    |

  11. Two equal forces are acting at a point with an angle of 60^(@) between...

    Text Solution

    |

  12. Two forces 3 N and 2 N are at an angle theta such that the resultant i...

    Text Solution

    |

  13. The resultant of the vectors A and B is perpendicular to the vector A ...

    Text Solution

    |

  14. Two force F(1)" and "F(2) are acting on a body. One force is double th...

    Text Solution

    |

  15. Two vectors vecA" and "vecB have equal magnitudes. If magnitude of vec...

    Text Solution

    |

  16. The maximum and minimum resultant of two forces acting at a point are ...

    Text Solution

    |

  17. The resultant of the three vectors bar(OA),bar(OB) and bar(OC) shown i...

    Text Solution

    |

  18. If (|veca+vecb|)/(|veca-vecb|)=1, then angle between bar(a)" and "bar(...

    Text Solution

    |

  19. The magnitude of pairs of displacement vectors are give. Which pairs o...

    Text Solution

    |

  20. I started walking down a road to day-break facing the sun. After walki...

    Text Solution

    |