Home
Class 11
PHYSICS
A displacement vector, at an angle of 30...

A displacement vector, at an angle of `30^(@)` with y-axis has an x-component of `10` units. Then the magnitude of the vector is-

A

5

B

10

C

11.5

D

20

Text Solution

Verified by Experts

The correct Answer is:
D

`cos 60^(@)=10/(r) rArr r=10/(1//2)=20` units
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Exersice-03|7 Videos
  • MISCELLANEOUS

    ALLEN |Exercise ASSERTION-REASON|18 Videos
  • MISCELLANEOUS

    ALLEN |Exercise Part -II Example Some worked out Examples|1 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

The component of a vector is

The magnitude of a vector cannot be :

A vector vec(A) of length 10 units makes an angle of 60^(@) with a vector vec(B) of length 6 units. Find the magnitude of the vector difference vec(A)-vec(B) & the angles with vector vec(A) .

Read each statement below carefully and state with reasons , if it is true of false : (a) The magnitude of a vector is always a scalar , (b) each component of a vector is always a scalar , (c ) the total path length is always equal to the magnitude of the displacement vector of a particle . (d) the average speed of a either greater or equal to the magnitude of average velocity of the particle over the same interval of time , (e ) Three vectors not lying in a plane can never add up to give a null vector .

X- component of vec(a) is twice of its Y- component. If the magnitude of the vector is 5sqrt(2) and it makes an angle of 135^(@) with z-axis then the components of vector is:

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.

Let vec a= hat i be a vector which makes an angle of 120^@ with a unit vector vec b in XY plane. then the unit vector (vec a+ vec b) is

One of the two rectangular components of a force is 20 N and it makes an angle of 30^(@) with the force. The magnitude of the other component is

If the sum of two unit vectors is a unit vector, then magnitude of difference is-

A vector vec(A) and vec(B) make angles of 20^(@) and 110^(@) respectively with the X-axis. The magnitudes of these vectors are 5m and 12m respectively. Find their resultant vector.

ALLEN -MISCELLANEOUS-Exercise-01
  1. The resultant of two vectors vec(P) and vec(Q) is vec(R). If vec(Q) is...

    Text Solution

    |

  2. Figure shows three vectors vec(a), vec(b) and vec(c), where R is the m...

    Text Solution

    |

  3. A displacement vector, at an angle of 30^(@) with y-axis has an x-comp...

    Text Solution

    |

  4. I started walking down a road in morning facing the sun. After walking...

    Text Solution

    |

  5. A bird moves from point (1 m, -2 m, 3 m) to (4 m, 2 m, 3 m). If the sp...

    Text Solution

    |

  6. Any vector in an arbitrary direction can always be replaced by two (or...

    Text Solution

    |

  7. There are two forces vectors, one of 5N and other of 12N at what angle...

    Text Solution

    |

  8. A particle has displacement of 12m towards east and 5 m towards north ...

    Text Solution

    |

  9. 21 coplanar non collinear forces (all of equal magnitude) maintain a b...

    Text Solution

    |

  10. A vector vecA points vertically upward and vecB points towards north. ...

    Text Solution

    |

  11. If |vec(A)xxvec(B)|=sqrt(3)vec(A).vec(B), then the value of |vec(A)+ve...

    Text Solution

    |

  12. The projection of vec(A) on vec(B) is :-

    Text Solution

    |

  13. Given that P=Q=R. If vec(P)+vec(Q)=vec(R) then the angle between vec(P...

    Text Solution

    |

  14. At what angle must the two forces (X+y) and (x-y) act so that the re...

    Text Solution

    |

  15. The value of (vec(A)+vec(B)).(vec(A)xxvec(B)) is :-

    Text Solution

    |

  16. The projection of vector, vec(r)=3hat(i)+hat(j)+2hat(k), on the x-y pl...

    Text Solution

    |

  17. Two balls are rolling on a flat smooth table. One ball has velocity co...

    Text Solution

    |

  18. Select incorrect statement

    Text Solution

    |

  19. If vec(e(1)) and vec(e(2)) are two unit vectors and theta is the angle...

    Text Solution

    |

  20. Three concurrent forces of the same magnitude are in equilibrium. What...

    Text Solution

    |