Home
Class 11
PHYSICS
Find the resultant of the three vectors ...

Find the resultant of the three vectors `vec(OA), vec(OB)` and `vec(OC)` shown in figure. Radius of the circle is R.

Text Solution

Verified by Experts

OA=OC
`vec(OA)+(OC)` is along `vec(OB)` (bisector ) and its magnitude is
`2Rcos45^0=Rsqrt2`
`vec((OA)+(vecOC))+vec(OB)` and its magnitude is
`Rsqrt2+R=R(1+sqrt2)`
Promotional Banner

Topper's Solved these Questions

  • PHYSICS AND MATHEMATICS

    HC VERMA|Exercise Short Answer|14 Videos

  • PHYSICS AND MATHEMATICS

    HC VERMA|Exercise Objective 1|6 Videos

  • PHYSICS AND MATHEMATICS

    HC VERMA|Exercise Exercises|34 Videos

  • NEWTON'S LAWS OF MOTION

    HC VERMA|Exercise Exercises|42 Videos

  • REST AND MOTION : KINEMATICS

    HC VERMA|Exercise Exercises|51 Videos

Similar Questions

Explore conceptually related problems

The resultant of the three vectors vec(OA), vec(OB) and vec(OC) shown in figure is

Find the resultant of the three vectors vec OA,vec OB and vec OC each of magnitude r as shown in figure?

What is the angle between the vector vec(A) and vec(B) as shown in figure ?

The resultant of vectors vec(OA) and vec(OB) is peerpendicular to vec(OA). Find the angle AOB.

The magnitude of vectors vec(OA), vec(OB) and vec (OC) in figure are equal. Find the direction of vec(OA)+vec(OB)-vec(OC) . .

The resultant of two velocity vectors vec(A) and vec(B) is perpendicular to vec(A) . Magnitude of Resultant vec(R ) is equal to half magnitude of vec(B) . If the angle between vec(A) and vec(B) is (30 theta)^(@) , then value of theta is ?

The resultant of two vectors vec(A) and vec(B) is perpendicular to the vector vec(A) and its magnitudes is equal to half of the magnitudes of vector vec(B) (figure). The angle between vec(A) and vec(B) is

The magnitudes of vectors vec OA,vec OB and vec OC( in figure( 2-W3) are equal.Find the direction of )/(Ovec A)+vec OB-vec OC.

The sum of the three vectors shown in figure is zero. Find the magnitudes of the vectors vec(OB) and vec(OC) .

Keeping one vector constant, if direction of other to be added in the first vector is changed continuously, tip of the resultant vector describes a circles, In the following figure vector vec(a) is kept constant. When vector vec(b) addede to vec(a) changes its direction, the tip of the resultant vector vec(r)=vec(a)+vec(b) describes circles of radius b with its centre at the tip of vector vec(a) . Maximum angle between vector vec(a) and the resultant vec(r)=vec(a)+vec(b) is

HC VERMA-PHYSICS AND MATHEMATICS-Worked Out Examples
  1. A vector has component along the X-axis equal to 25 unit and along the...

    Text Solution

    |

  2. Find the resultant of the three vectors shown in figure (2W1). .

    Text Solution

    |

  3. The sum of the three vectors shown in figure is zero. Find the magnitu...

    Text Solution

    |

  4. The magnitude of vectors vec(OA), vec(OB) and vec (OC) in figure are e...

    Text Solution

    |

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

    Text Solution

    |

  6. The resultant of vectors vec(OA) and vec(OB) is peerpendicular to vec(...

    Text Solution

    |

  7. Write the unit vector in the direction of vecA=5veci+vecj-2veck.

    Text Solution

    |

  8. If |veca+vecb|=|veca-vecb| show that veca|vecb.

    Text Solution

    |

  9. IF veca=2veci+3vecj+4veck and vecb =4veci+3vecj+2veck find the angle b...

    Text Solution

    |

  10. If vecA=2veci-3vecj+7veck, vecB=veci+2veck and vecC=vecj-veck find vec...

    Text Solution

    |

  11. The volume of a sphere is given by V= 4/3 pi R^3 where R is the ra...

    Text Solution

    |

  12. Find the derivastive of the following functions with respect to x. a. ...

    Text Solution

    |

  13. Find the maximum or minimum values of the function y=x+1/x for xgt0.

    Text Solution

    |

  14. Figure shows the curve y=x^2. Find the area of the shaded part between...

    Text Solution

    |

  15. Evaluate int^t 0 A sin omega dt where A and omega are constants.

    Text Solution

    |

  16. The velocity v and displacement x of a particle executing simple harmo...

    Text Solution

    |

  17. The charge flown through a circuit in the time interval between t and ...

    Text Solution

    |

  18. Evaluate (21.6002+234+2732.10)xx13.

    Text Solution

    |