Home
Class 12
PHYSICS
Two vectors a and b have equal magnitude...

Two vectors a and b have equal magnitudes of 12 units. These vectors are making angles 30°and 120° with the x axis respectively. Their sum is r . Find the x and y components of r .

A

`(6 sqrt(3)-6),(6+6sqrt(3))`

B

`(6 sqrt(3)+6),(6+6sqrt(3))`

C

`(6 sqrt(3)-6),(6-6sqrt(3))`

D

`(6 sqrt(3)+6),(6-6sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    AAKASH SERIES|Exercise EXERCISE-2 (Lami.s theorem :)|8 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise EXERCISE-2 ( Relative velocity)|15 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise EXERCISE-IB (Circular motion)|12 Videos
  • MAGNETISM

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|22 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise QUESTION FOR DESCRIPTIVE ANSWER|7 Videos

Similar Questions

Explore conceptually related problems

Two vector A and B have equal magnitudes. Then the vector A+B is perpendicular to

Find a vector vec r of magnitude 3sqrt(2) units which makes an angle of pi/4 and pi/2 with y and z-axis respectively.

Find a vector vec r of magnitude 3sqrt(2)u n i t s which makes an angle of pi/4 and pi/2 with y and z- axis respectively.

Write down a unit vector in XY-plane, making an angle of 30° with the positive direction of x-axis.

Write down a unit vector in XY-plane, making an angle of 30° with the positive direction of x-axis.

Add vectors vecA,vecB and vecC each having magnitude of 100 unit and inclined to the X-axis at angles 45^@, 135^@ and 315^@ respectively.

Two vectors having equal magnitude of 5 units, have an angle of 60^(@) between them. Find the magnitude of their resultant vector and its angle from one of the vectors.

Write down a unit vector in XY plane, making an angle of 30^(@) with positive direction of x-axis.

Two vectors of equal magnitude of 5 unit have an angle 60^0 between them. Find the magnitude of (a) the sum of the vectors and (b) the difference of the vectors. . .

Let vecA and vecB be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angles 30^@ and 60^@ respectively, find the resultant.

AAKASH SERIES-MOTION IN A PLANE-EXERCISE-2 (Addition, Subtraction and Resolution)
  1. A car weighing 100kg is on a slope that makes an angle 30° with the ho...

    Text Solution

    |

  2. To go from town A to town B a plane must fly about 1780 km at an angle...

    Text Solution

    |

  3. Two vectors a and b have equal magnitudes of 12 units. These vectors a...

    Text Solution

    |

  4. Angle (in rad) made by the vector sqrt(3)hati + hatj with the x-axis i...

    Text Solution

    |

  5. A bird moves in such a way that it has a displacement of 12 m towards ...

    Text Solution

    |

  6. The direction cosines of a vector a are cos alpha = 4/(5sqrt(2)), cos ...

    Text Solution

    |

  7. If vecP=hati+2hatj+6hatk its direction cosines are

    Text Solution

    |

  8. If A = 2i - 3 j + 4k its components in yz plane and zx plane are respe...

    Text Solution

    |

  9. If vectors vecA and vecB are 3 hati - 4 hatj + 5 hatk and ...

    Text Solution

    |

  10. A vector sqrt(3)hati + hatj rotates about its tail through an angle 3...

    Text Solution

    |

  11. Maximum and minimum magnitudes of the resultant of two vectors of magn...

    Text Solution

    |

  12. The resultant of two equal forces is 141.4N when they are mutually per...

    Text Solution

    |

  13. The magnitudes of two vectors vecP and vecQ differ by 1. The magnitud...

    Text Solution

    |

  14. Which of the following statement is incorrect

    Text Solution

    |

  15. The resultant of two forces 2P and sqrt(2)P is sqrt(10)P The angle bet...

    Text Solution

    |

  16. Eleven forces each equal to 5N act on a particle simultaneously. If ea...

    Text Solution

    |

  17. Which of the following sets of forces acting simultaneously on a parti...

    Text Solution

    |

  18. The resultant of two forces 1 and P is perpendicular to ' 1' and equal...

    Text Solution

    |

  19. If the difference of two unit vectors is also a vector of unit magnitu...

    Text Solution

    |

  20. If vecP + vecQ = vecR and vecP - vecQ = vecS , then R^(2) + S^(2) is ...

    Text Solution

    |