Home
Class 12
PHYSICS
Consider vec(F)=4hat(i) - 3hat(j). A vec...

Consider `vec(F)=4hat(i) - 3hat(j)`. A vector perpendicular to `vec(F)` is :

A

`6hat(i)`

B

`7hat(k)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
As the vector `(4hati - 3hatj)` lies in XY- plane, out of the given vectors only 7 `hatk` vector can be perpendicular to it as it lies in Z-plane.
Promotional Banner

Topper's Solved these Questions

  • DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION

    MODERN PUBLICATION|Exercise MCQ(LEVEL-II)|54 Videos

  • 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 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

Write the value of lambda so that the vectors vec(a) = 2hat(i) + lambda hat(j) + hat(k) and vec(b) = hat(i) - 2hat(j) + 3hat(k) are perpendicular to each other ?

Find the value of lambda if the vectors vec(a) = 3hat(i) + hat(j) - 2hat(k) and vec(b) = hat(i) + lambda hat(j) - 3hat(k) are perpendicular to each other.

If veca = 2 hat i + 3 hat j - hat k , vec b = hat i + 2 hat j - 5 hat k, vec c= hat 3i + 5 hatj = hat k , then a vector perpendicular to vec a and in the plane containing vec b and vec c is

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 ______.

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) + 2hat(j) + 3hat(k), vec(b) = -hat(i) + 2hat(j) + hat(k) and vec(c )=3hat(i)+2hat(j) such that vec(a)+lambda vec(b) is perpendicular to vec(c) , then find the value of lambda .

MODERN PUBLICATION-DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION-Revision TEST
  1. Consider vec(F)=4hat(i) - 3hat(j). A vector perpendicular to vec(F) is...

    Text Solution

    |

  2. The torque of a force vecF=-3hati+hatj+5hatk acting at a point is vect...

    Text Solution

    |

  3. The position vectors of the head and tail of radius vector are 2hati+h...

    Text Solution

    |

  4. Given vec r=2 hat i+hat j+hat k and vec P=2 hat i+3 hat j+hat k angula...

    Text Solution

    |

  5. The angle between two vectors vec A =vec B is theta. The resultant of ...

    Text Solution

    |

  6. Two forces of magnitude F and sqrt(3) F act at right angles to each ot...

    Text Solution

    |

  7. The magnitude of the vector product of two vectors is 4. The magnitude...

    Text Solution

    |

  8. ABCDEF is a regular hexagon with point O as centre. The value of vec(A...

    Text Solution

    |

  9. A projectile is projected horizontally with 8 ms^(-1) , its velocity a...

    Text Solution

    |

  10. Two projectiles are thrown with same velocity but at an angle theta an...

    Text Solution

    |

  11. A projectile is thrown with angle of projection tan^(-1)(4/3) The rati...

    Text Solution

    |

  12. The angle between two vectors 2 hat i+3 hat j+hat k and 3 hat i + 6 ha...

    Text Solution

    |

  13. If resultant of two forces vec F and vec F is F. The angle between two...

    Text Solution

    |

  14. A ball is projected at an angle 30° with the horizontal. What is the c...

    Text Solution

    |

  15. A body is projected with K.E. ‘E’ so as to have a maximum horizontal r...

    Text Solution

    |

  16. Angle which the vector vec A = 2 hat i+3 hat j makes with the y-axis i...

    Text Solution

    |

  17. If the magnitude of the vector product is sqrt(3) times the magnitude ...

    Text Solution

    |

  18. If vec(A).vec(B)=|vec(A)xxvec(B)|, then the resultant of vec(A) and ve...

    Text Solution

    |

  19. A ball is projected from a certain point on the surface of a planet at...

    Text Solution

    |

  20. The vector which must be added to the sum of the two vectors hat i+2 h...

    Text Solution

    |

  21. If the time of flight of a body is T and horizontal range is R, then t...

    Text Solution

    |