Home
Class 11
PHYSICS
If A=3hat(i)+4hat(j) and B=7hat(i)+24hat...

If `A=3hat(i)+4hat(j)` and `B=7hat(i)+24hat(j)`,find the vector having the same magnitude as B and parallel to A.

A

`5hat(i)+20hat(j)`

B

`15hat(i)+10hat(j)`

C

`20hat(i)+15hat(j)`

D

`15hat(i)+20hat(j)`

Text Solution

Verified by Experts

The correct Answer is:
D
`|vec(B)|= sqrt(7^(2)+(24)^(2))= sqrt(625)= 25`
Unit vector in the direction of A will be `hat(A)= (3hat(i)+4hat(j))/5`
So required vector `= 25((3hat(i)+4hat(j))/5) = 15hat(j)+20hat(j)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If vec(A) = 3hat(i) + 4hat(j) and vec(B) = 7hat(i) + 24hat(j) , the vector having the same magnitude as vec(B) and parallel to vec(A) is :

If vec(A)=2hat(i)+6hat(j)and vec(B)=4hat(i)+3hat(j), the vector having the same magnitude as vec(B) and parallel to vec(A) is

If vec(b)=3hat(i)+4hat(j) and vec(a)=hat(i)-hat(j) the vector having the same magnitude as that of vec(b) and parallel to vec(a) is

If vec A= 3 hat I + 4 hat j and vec B = 7 hat I = 24 hat j , find a vector having the same magnitude as vec A and parallel to vec B .

If vec A =3 hat I + 4 hat j and vec B =7hat I + 14 hat j , find a vector having the some magnitude as vec A and parallel to vec B .

If ve A = 3 hat I + 4 hat j and vec B = 7 hat I + 24 hat j . Find vector haveng the same magnitude as vec B and parallel to vec A .

If vec(a)=4hat(i)-hat(j)+hat(k) and vec(b)=2hat(i)-2hat(j)+hat(k) , then find a unit vector parallel to the vector vec(a)+vec(b) .

If vec a=3hat i+4hat j and vec b=hat i+hat j+hat k, find the value of |vec a xxvec b|

If the position vectors of the points A and B are : 7hat(i)+3hat(j)-hat(k) and 2hat(i)-5hat(j)+4hat(k) respectively, find the magnitude and direction - cosines of the vector vec(AB) .

If vec(a)=2hat(i)-hat(j)+2hat(k) and vec(b)=6hat(i)+2hat(j)+3hat(k) , find a unit vector parallel to vec(a)+vec(b) .

A2Z-VECTORS-Expressing Vectors In Unit Vector Notation
  1. vec(P)+vec(Q) is a unit vector along x-axis. If vec(P)= hat(i)-hat(j)+...

    Text Solution

    |

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

    Text Solution

    |

  3. The unit vector along hat(i)+hat(j) is

    Text Solution

    |

  4. The projection of a vector vec(r )=3hat(i)+hat(j)+2hat(k) on the x-y p...

    Text Solution

    |

  5. The angle made by the vecotr vec(A)= hat(i)+hat(j) with x-axis is

    Text Solution

    |

  6. If a unit vector is represented by 0.5hati + 0.8hatj + chatk the value...

    Text Solution

    |

  7. With respect to a rectangular Cartesian coordinate system, three vecto...

    Text Solution

    |

  8. If vec(A)=4hat(i)-3hat(j) and vec(B)=6hat(i)+8hat(j),then find the mag...

    Text Solution

    |

  9. A truck travelling due to north at 20m s^(-1) turns west and travels a...

    Text Solution

    |

  10. Determine a vector which when added to the resultant of vec(A)= 2hat(i...

    Text Solution

    |

  11. If a particle moves from point P(2,3,5) to point Q(3,4,5). Its displac...

    Text Solution

    |

  12. Let vec(A)=2hat(i)+hat(j),B=3hat(j)-hat(k) and vec(C )=6hat(i)-2hat(k)...

    Text Solution

    |

  13. Two forces F(1)=1N and F(2)=2N act along the lines x=0 and y=0, respec...

    Text Solution

    |

  14. Following forces start acting on a particle at rest at the origin of t...

    Text Solution

    |

  15. A body is at rest under the action of three forces, two of which are v...

    Text Solution

    |

  16. Find the vector that must be added to the vector hat(i)-3hat(j)+2hat(k...

    Text Solution

    |

  17. If A=3hat(i)+4hat(j) and B=7hat(i)+24hat(j),find the vector having the...

    Text Solution

    |

  18. The unit vector parallel to the resultant of the vectors vec(A)= 4hat(...

    Text Solution

    |

  19. Unit vector parallel to the resultant of vectors vec(A)= 4hat(i)-3hat(...

    Text Solution

    |

  20. The three vector vec(A) = 3hat(i)-2hat(j)+hat(k), vec(B)= hat(i)-3hat(...

    Text Solution

    |