Home
Class 11
PHYSICS
Given that vec(A)+vec(B)=vec(C ) and tha...

Given that `vec(A)+vec(B)=vec(C )` and that `vec(C )` is perpendicular to `vec(A)` Further if `|vec(A)|=|vec(C )|`, then what is the angle between `vec(A)` and `vec(B)`

A

`pi/4rad`

B

`(3pi)/4rad`

C

`(5pi)/4rad`

D

`(7pi)/4rad`

Text Solution

Verified by Experts

The correct Answer is:
B

`tan theta' =C/A=1`
`rArr theta'=45^(@)=pi/4`
`theta= pi-pi/4=(3pi)/4`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise Multiple Correct|5 Videos
  • VECTORS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise Subjective|28 Videos
  • TRAVELLING WAVES

    CENGAGE PHYSICS ENGLISH|Exercise Integer|9 Videos
  • WORK, POWER & ENERGY

    CENGAGE PHYSICS ENGLISH|Exercise Archives (integer)|4 Videos

Similar Questions

Explore conceptually related problems

If vec(A) + vec(B) = vec(C ) and A + B = C , then the angle between vec(A) and vec(B) is :

Given that vec(a). vec(b) =vec(a). vec(c ) Does this mean that vec(b) = vec(c ) ?

The magnitude of vector vec(A),vec(B) and vec(C ) are respectively 12,5 and 13 unit and vec(A)+vec(B)= vec(C ) then the angle between vec(A) and vec(B) is

Given that vec(A)+vec(B)=vec(C ) . If |vec(A)|=4, |vec(B)|=5 and |vec(C )|=sqrt(61) , the angle between vec(A) and vec(B) is

If vec(A)=vec(B)+vec(C ) , and the magnitudes of vec(A) , vec(B) , vec(C ) are 5,4, and 3 units, then the angle between vec(A) and vec(C ) is

If vec(a) + vec(b) + vec( c ) = vec(0), |vec(a) | = sqrt( 37), | vec(b)| =3 and | vec( c)| =4 , then the angle between vec(b) and vec(c ) is

Let vec(A), vec(B) and vec(C) , be unit vectors. Suppose that vec(A).vec(B)=vec(A).vec(C)=0 and the angle between vec(B) and vec(C) is pi/6 then

The vector (vec(a)+3vec(b)) is perpendicular to (7 vec(a)-5vec(b)) and (vec(a)-4vec(b)) is perpendicular to (7vec(a)-2vec(b)) . The angle between vec(a) and vec(b) is :

The magnitudes of vectors vec(A),vec(B) and vec(C) are 3,4 and 5 unit respectively. If vec(A)+vec(B)=vec(C), the angle between vec(A) and vec(B) is

If | vec a|+| vec b|=| vec c| and vec a+ vec b= vec c , then find the angle between vec a and vec bdot

CENGAGE PHYSICS ENGLISH-VECTORS-Exercise Single Correct
  1. Mark the correct statement.

    Text Solution

    |

  2. Out of the following forces, the resultant of which cannot be 10N?

    Text Solution

    |

  3. Which of the following pairs of forces cannot be added to give a resul...

    Text Solution

    |

  4. In an equilateral triangle ABC, AL, BM, and CN are medians. Forces alo...

    Text Solution

    |

  5. The sum of two vectors A and B is at right angles to their difference....

    Text Solution

    |

  6. If a parallelogram is formed with two sides represented by vector vec(...

    Text Solution

    |

  7. Given that vec(A)+vec(B)=vec(C ) and that vec(C ) is perpendicular to ...

    Text Solution

    |

  8. Two forces vec(F)(1)=500N due east and vec(F)(2)=250N due north have t...

    Text Solution

    |

  9. Find the resultant of the three vectors vec(OA), vec(OB) and vec(OC) s...

    Text Solution

    |

  10. Two vectors vec(a) and vec(b) are at an angle of 60^(@) with each othe...

    Text Solution

    |

  11. The resultant of two vectors vec(P) and vec(Q) is vec(R). If vec(Q) is...

    Text Solution

    |

  12. A vector vec(A) When added to the vector vec(B)=3hat(i)+4hat(j) yields...

    Text Solution

    |

  13. IN the figure shown ,ABCDEF is a regular hexagon . What is the of AB+A...

    Text Solution

    |

  14. In a two diamensional motion of a particle, the particle moves from po...

    Text Solution

    |

  15. The sum of two forces at a point is 16N. if their resultant is normal...

    Text Solution

    |

  16. The angle between two vector A and B is theta. Vector R is the resulta...

    Text Solution

    |

  17. The resultant of three vectors 1,2, and 3 units whose directions are t...

    Text Solution

    |

  18. A unit vector along the incident ray of light is hat(i). The unit vect...

    Text Solution

    |

  19. The components of a vector along the x- and y- directions are (n+1) an...

    Text Solution

    |

  20. Two point masses 1 and 2 move with uniform velocities vec(v)(1) and ve...

    Text Solution

    |