Home
Class 11
PHYSICS
What is the angle between vecA and the ...

What is the angle between `vecA` and the resultant of `(vecA + hatB) and (vecA-hat B) `?

A

`0^(@)`

B

`tan^(-1)((A)/(B))`

C

`tan^(-1)((B)/(A))`

D

`tan^(-1)((A-B)/(A+B))`

Text Solution

Verified by Experts

The correct Answer is:
1
`vecR = (vecA+hatB) + (vecA-hatB) rArr vecR= 2vecA`
Thus `vecR and vecA` are in same direction.
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise CROSS PRODUCT|15 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-II AIPMT/NEET & AIIMS (2006- 2018)|6 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise RESOLUTION OF VECTOR|8 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

What is the angle between vecA and the rsultant of (vecA_hatB) and (vecA-hatB) ?

What is the angle between veca and the resultant of veca+vecb and veca-vecb ?

If B is the angle between vecA and vecA-vecB . Then tanB is

The angle between (vecA xx vec B) and (vecB xx vecA ) is :

what is the angle between veca and vecb, if veca. vecb = 3 and | veca xx vecb| = 3 sqrt3.

Assertion: If theta be the angle between vecA and vecB then tan theta=(vecAxxvecB)/(vecA.vecB) Reason: vecAxxvecB is perpendicular to vecA.vecB

The angle between vector (vecA) and (vecA-vecB) is :

If vecA= 2hati-2hatj-hatk and vecB= hati+hatj , then : (a) Find angle between vecA and vecB . (b) Find the projection of resultant vector of vecA and vecB on x-axis.

If theta is the angle between unit vectors vecA and vecB , then ((1-vecA.vecB))/(1+vecA.vecB)) is equal to

ALLEN-BASIC MATHEMATICS USED IN PHYSICS &VECTORS -DOT PRODUCT
  1. What is the angle between vecA and the resultant of (vecA + hatB) and...

    Text Solution

    |

  2. If ahati +bhatj is a unit vector and it iws perpendicular to hati +hat...

    Text Solution

    |

  3. Given that A=B. What is the angle between (vecA+vecB) and (vecA-vecB) ...

    Text Solution

    |

  4. The vector sum of two forces is perpendicular to their vector differen...

    Text Solution

    |

  5. A magnitude of vector vecA,vecB and vecC are respectively 12, 5 and 13...

    Text Solution

    |

  6. If vectors vecP, vecQ and vecR have magnitudes 5, 12 and 13 units and ...

    Text Solution

    |

  7. A vector perpendicular to (4hati-3hatj) may be :

    Text Solution

    |

  8. A force (3hati+2hatj) N displaces an object through a distance (2hati-...

    Text Solution

    |

  9. If vecP.vecQ=PQ then angle between vecP and vecQ is

    Text Solution

    |

  10. The resultant of vecA and vecB is perpendicular to vecA. What is the a...

    Text Solution

    |

  11. What is the component of (3hati+4hatj) along (hati+hatj) ?

    Text Solution

    |

  12. The vector vecB= 5hati+2hatj-Shatk is perpendicular to the vector vec...

    Text Solution

    |

  13. What is the projection of vecA on vecB ?

    Text Solution

    |

  14. The angle between the vectors (hati+hatj) and (hatj+hatk) is

    Text Solution

    |

  15. The angles between the two vectors vecA=3hati+4hatj+5hatk and vecB=3ha...

    Text Solution

    |

  16. Let vec(A)=hat(i)A cos theta+hat(j)A sin theta, be any vector. Another...

    Text Solution

    |

  17. The vector vecP=ahati+ahatj+3hatj and vecQ=ahati-2hatj-hatk, are perpe...

    Text Solution

    |

  18. A force vecF= (3hati+4hatj) N acts on a body and displaces it by vecS=...

    Text Solution

    |

  19. The vector projection of a vector 3hat(i)+4hat(k) on y-axis is

    Text Solution

    |

  20. If a vector (2hati+3hatj+ 8hatk) is perpendicular to the vector (4hatj...

    Text Solution

    |