Home
Class 11
PHYSICS
If vec(A)=2hat(i)+6hat(j)and vec(B)=4hat...

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

A

`(5)/(2)(2hat(i)-6hat(j))`

B

`(sqrt10)/(4)(hat(i)-3hat(j))`

C

`(sqrt10)/(4)(4hat(i)+3hat(j))`

D

`(sqrt10)/(2)(hat(i)+3hat(j))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SCALARS AND VECTORS

    TARGET PUBLICATION|Exercise Competitive Thinking|64 Videos
  • SCALARS AND VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|19 Videos
  • SCALARS AND VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|19 Videos
  • REFRACTION OF LIGHT

    TARGET PUBLICATION|Exercise EVALUATION TEST|15 Videos
  • SEMICONDUCTORS

    TARGET PUBLICATION|Exercise EXERCISE|147 Videos

Similar Questions

Explore conceptually related problems

If vec(A)=-2hat(i)+3hat(j)-4hat(k)and vec(B)=3hat(i)-4hat(j)+5hat(k) then vec(A)xxvec(B) is

If vec(P)=hat(i)+2hat(j)+hat(k)andvec(Q)=3hat(i)+hat(j)-hat(k) then vec(P)xxvec(Q) is

vec(A) and vec(B) are two vectors given by vec(A)=2hat(i)+3hat(j) and vec(B)=hat(i)+hat(j). The magnitude of the component of vec(A) along vec(B) is

If vec(P)=hat(i)-2hat(j)-3hat(k)and vec(Q)=4hat(i)-2hat(j)+6hat(k) , the angle made by vec(P)+vec(Q) with X-axis is

If vec(A)=2hat(i)+3hat(j)+4hat(k)and vec(B)=hat(i)+2hat(j)+3hat(k). The value of (2vec(A)-vec(B))*(vec(A)+2vec(B)) is

If vec(P)=hat(i)+2hat(j)-4hat(k)andvec(Q)=hat(i)+2hat(j)-hat(k) then (vec(P)+vec(Q))*(vec(P)-vec(Q)) is

If vec(a)=4hat(i)-hat(j),vec(b)=-3hat(i)+2hat(j)and vec(c)=-hat(k). Then the unit vector hat( r) along the direction of sum of these vectors will be

TARGET PUBLICATION-SCALARS AND VECTORS-Critical Thinking
  1. If a unit vector is represented by 0.5 hat(i)-0.8 hat(j)+chat(k), then...

    Text Solution

    |

  2. A Unit vector in the direction of the negative of the vector (-hat(i)+...

    Text Solution

    |

  3. If vec(A)=2hat(i)+6hat(j)and vec(B)=4hat(i)+3hat(j), the vector having...

    Text Solution

    |

  4. If the sum of two unit vectors is a unit vector, then magnitude of dif...

    Text Solution

    |

  5. A vector of magnitude b is rotated through angle theta. What is the ch...

    Text Solution

    |

  6. The resultant of two vectors vec(P) and vec(Q) is vec(R ). If the magn...

    Text Solution

    |

  7. Choose the correct options A force vector applied on a mass is repres...

    Text Solution

    |

  8. Vector vec(A)=2hat(i)-3hat(j)+ahat(k)andvec(B)=12hat(i)-bhat(j)+6hat(k...

    Text Solution

    |

  9. If a 4hat(i)+3hat(j)+8hat(k) is perpendicular to the vector 4hat(j)-4h...

    Text Solution

    |

  10. A force vec(F)=3hat(i)+chat(j) +2hat(k) acting on a particle causes a ...

    Text Solution

    |

  11. Work done when a force of (7hat(i)-4hat(j)-4hat(k)) N moves a body thr...

    Text Solution

    |

  12. If vec(P)=hat(i)-2hat(j)-3hat(k)and vec(Q)=4hat(i)-2hat(j)+6hat(k) , t...

    Text Solution

    |

  13. Choose the CORRECT statement.

    Text Solution

    |

  14. The sine of the angle between 3hat(i)+hat(j)+2hat(k)and 2hat(i)-2hat(j...

    Text Solution

    |

  15. If vec(A).vec(B)=0andvec(A)xxvec(B)=0, then which of the following con...

    Text Solution

    |

  16. If the ratio of the dot product of two vectors and cross product of sa...

    Text Solution

    |

  17. Select the WRONG one.

    Text Solution

    |

  18. If vec(a) and vec(b) are two vectors then the value of (vec(a) + vec(b...

    Text Solution

    |

  19. Given vec(p)*(vec(P)+vec(Q))=P^(2) then the angle between vec(P)andvec...

    Text Solution

    |

  20. Assertion : If dot product and cross product of vec(A)andvec(B) are ze...

    Text Solution

    |