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.

A

`2R`

B

`R(1+sqrt(2))`

C

`Rsqrt(2)`

D

`R(sqrt(2)-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`R_(net)=R+sqrt(R^(2)+R^(2))= R+sqrt(2)R= R(sqrt(2)+1)`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    A2Z|Exercise NEET Questions|12 Videos

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Chapter Test|28 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise Chapter Test|30 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) .

ABCD is a quadrilateral and E is the point of intersection of the lines joining the middle points of opposite side. Show that the resultant of vec (OA) , vec(OB) , vec(OC) and vec(OD) = 4 vec(OE) , where O is any point.

A2Z-VECTORS-Chapter Test
  1. Angle between the vectors (hat(i)+hat(j))and (hat(j)-hat(k)) is

    Text Solution

    |

  2. If the resultant of n forces of different magnitudes acting at a point...

    Text Solution

    |

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

    Text Solution

    |

  4. A person goes 10 km north and 20 km east. What will be displacement fr...

    Text Solution

    |

  5. Let vec(C )= vec(A)+vec(B) then

    Text Solution

    |

  6. In figure, vec(E ) equals

    Text Solution

    |

  7. A scooter going due east at 10 ms^(-1) turns right through an angle of...

    Text Solution

    |

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

    Text Solution

    |

  9. The component of a vector r along X-axis will have maximum value if

    Text Solution

    |

  10. A particle moves so that its position vector varies with time as vec(r...

    Text Solution

    |

  11. hat(e )(r) is unit Vector along radius of a circle shown in figure hat...

    Text Solution

    |

  12. A vector of magnitude 10 N acting in X-Y-plane has componets 8 N and 6...

    Text Solution

    |

  13. A particle P is acted by three coplanar forces as shown in the figure ...

    Text Solution

    |

  14. A person moves 30 m north, then 30 m, then 20 m towards east and final...

    Text Solution

    |

  15. A particle moves from position 3hat(i)+2hat(j)-6hat(k) to 14hat(i)+13h...

    Text Solution

    |

  16. Normal reaction N is a force exerted by the surface on the block perpe...

    Text Solution

    |

  17. Weight mg of a block is a force acting downward toward centre of the e...

    Text Solution

    |

  18. Three forces are acting on a particle as shown in the figure. To have ...

    Text Solution

    |

  19. Two horizontal forces of magnitudes of 10N and P N act on a particle. ...

    Text Solution

    |

  20. P, Q and R are three coplanar forces acting at a point and are in equi...

    Text Solution

    |