Home
Class 12
PHYSICS
If vec(A)=3hat(i) + 4hat(j) and vec(B)=7...

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

A

`15hati + 20hatj`

B

`20hati + 15hatj`

C

`3hati + 4hatj`

D

`4hati + 3hatj`

Text Solution

Verified by Experts

The correct Answer is:
A
Here `hatA=(3hati +4hatj)/5` and `|B|`=25
`:. |B|hatA=25(3hati+4hatj)/5=15hati+20hatj`
`|A|=sqrt(9+16)=5`
Promotional Banner

Topper's Solved these Questions

  • DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION

    MODERN PUBLICATION|Exercise MCQ(LEVEL-III)(Questions from AIEEE/ JEE Examinations)|6 Videos

  • DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|7 Videos

  • DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION

    MODERN PUBLICATION|Exercise Revision TEST|36 Videos

  • DESCRIPTION OF MOTION IN ONE DIMENSION

    MODERN PUBLICATION|Exercise Revision Test|45 Videos

  • E.M. INDUCTION AND A.C. CURRENTS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|31 Videos

Similar Questions

Explore conceptually related problems

If vec(a) = hat(i) + hat(j) + hat(k), vec(b) = 4hat(i) - 2hat(j) + 3hat(k) and vec(c ) = hat(i) - 2hat(j) + hat(k) , find a vector of magnitude 6 units which is parallel to the vector 2vec(a) - vec(b) + 3vec(c ) .

Let vec(a) =hat(i) +2hat(j) +hat(k),vec(b) =hat(i) -hat(j) +hat(k) and vec(c ) =hat(i) +hat(j) -hat(k) , vector in the plane of vec(a) and vec(b) whose projection on vec(c ) is 1/(sqrt(3)) is ______.

If vec(AB) = 3hat(i) + 2hat(j) + 6hat(k), vec(OA) = hat(i) - hat(j) - 3hat(k) , find the value of vec(OB) .

If vec(a) = 2hat(i) - hat(j) + 3hat(k) and vec(b) = (6hat(i) + lambda hat(j) + 9 hat(k)) and vec(a) is parallel to vec(b) , find the value of lambda .

Let vec(a) = hat(i) + 4hat(j) + 2hat(k), vec(b) = 3hat(i) - 2hat(j) + 7hat(k) and vec(c )= 2hat(i) - hat(j) + 4hat(k) . Find a vector vec(p) which is perpendicular to both vec(a) and vec(b) and vec(p).vec(c ) = 18 .

If vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(j) - hat(k) , find a vector vec(c ) , such that vec(a) xx vec(c ) = vec(b) and vec(a).vec(c ) = 3 .

If vec(a) = 2hat(i) - 3hat(j) + hat(k), vec(b) = -hat(i) + hat(k), vec(c ) = 2hat(j) - hat(k) are three vectors, find the area of the parallelogram having diagonals vec(a) + vec(b) and vec(b) + vec(c ) .

If vec(a) = 3hat(i) - hat(j) and vec(b) = 2hat(i) + hat(j) - 3hat(k) then express vec(b) in the form of vec(b) = vec(b_(1)) + vec(b_(2)) where vec(b_(1))||vec(a) and vec(b_(2)) perpendicular to vec(a) .

MODERN PUBLICATION-DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION-MCQ(LEVEL-II)
  1. The equation of projectile is y=sqrt(3)-g/2x^(2) , the angle of its pr...

    Text Solution

    |

  2. A projectile is thrown from a point in a horizontal plane such that it...

    Text Solution

    |

  3. A projectile is fired at 45° with a speed of 200 ms^(-1) . Its maximum...

    Text Solution

    |

  4. The initial velcoity of particle vec(u)=4 hati + 3hatj. It is moving w...

    Text Solution

    |

  5. A rod of length 'l' rests at a point A against a smooth vertical wal...

    Text Solution

    |

  6. Two projectiles are thrown from the same point simultaneously with sam...

    Text Solution

    |

  7. If vec(A)=2hati + 3hatj and vec(B)=hati + hatj, then the vector compon...

    Text Solution

    |

  8. An object is projected with velocity 20 ms^(-1) making an angle of 45°...

    Text Solution

    |

  9. A stone is thrown with a velocity v at an angle 0 with the horizontal....

    Text Solution

    |

  10. Show that a projectile fired at an angle 0 with the horizontal crosses...

    Text Solution

    |

  11. If vec(A)=3hat(i) + 4hat(j) and vec(B)=7hat(i) + 24hat(j). Find the ve...

    Text Solution

    |

  12. A particle moves in X-Y plane under the action of forces F such that t...

    Text Solution

    |

  13. If the relation between range R and time of flight T is given by R = 5...

    Text Solution

    |

  14. Given : vec(a) + vec(b) + vec(c) = 0 . Out of the three vectors vec(a)...

    Text Solution

    |

  15. The resultant of three vectors 1, 2 and 3 units whose directions are t...

    Text Solution

    |

  16. When a projectile is moving at 60 m s^(-1) at the highest point of its...

    Text Solution

    |

  17. A projectile can have the same range 'R' for two angles of projection....

    Text Solution

    |

  18. A body is at rest at x = 0. At t = 0, it starts moving in the positive...

    Text Solution

    |

  19. Consider a rubber ball freely falling from a height h = 4.9 m on to a ...

    Text Solution

    |

  20. A particle is moving with velocity vec(v)=K(yhati + xhatj), where K is...

    Text Solution

    |