Home
Class 11
PHYSICS
If Vectors vec(A)= cos omega t hat(i)+ s...

If Vectors `vec(A)= cos omega t hat(i)+ sin omega t hat(j)` and `vec(B)=(cos)(omegat)/(2)hat(i)+(sin)(omegat)/(2)hat(j)`are functions of time. Then the value of `t` at which they are orthogonal to each other is

A

t = 0

B

`t=(pi)/(4omega)`

C

`t=(pi)/(2omega)`

D

`t=(pi)/(omega)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SCALARS AND VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|19 Videos

  • SCALARS AND VECTORS

    TARGET PUBLICATION|Exercise Critical Thinking|37 Videos

  • REFRACTION OF LIGHT

    TARGET PUBLICATION|Exercise EVALUATION TEST|15 Videos

  • SEMICONDUCTORS

    TARGET PUBLICATION|Exercise EXERCISE|147 Videos

Similar Questions

Explore conceptually related problems

The vector vec(P)= ahat(i)+ahat(j)+3hat(k) and vec(Q)= ahat(i)-2hat(j)-hat(k) are perpendicular to each other. The positive value of a is

Determine a vector product of vec(A)=hat(i)+hat(j)+hat(k)and vec(B)=-3hat(i)+hat(j)+hat(k)

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(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

Vector vec(A)=2hat(i)-3hat(j)+ahat(k)andvec(B)=12hat(i)-bhat(j)+6hat(k) are parallel to each other, then values of 'a' and 'b' are

The angle between the two vectors, (vec(A)=3hat(i)+4hatj+5hat(k)) and (vec(B)=3hat(i)+4hat(j)-5hat(k)) will be

TARGET PUBLICATION-SCALARS AND VECTORS-Competitive Thinking
  1. If a vector 2hat(i)+3hat(j)+8hat(k) is perpendicular to the vector 4ha...

    Text Solution

    |

  2. The vector vec(P)= ahat(i)+ahat(j)+3hat(k) and vec(Q)= ahat(i)-2hat(j)...

    Text Solution

    |

  3. If Vectors vec(A)= cos omega t hat(i)+ sin omega t hat(j) and vec(B)=(...

    Text Solution

    |

  4. Consider two vector vec(F1)=2hat(j)+5hat(k)and vec(F2)=3hat(j)+4hat(k)...

    Text Solution

    |

  5. A particle moves from (1,0,3) to the point (-3,4,5), when a force vec(...

    Text Solution

    |

  6. A force (4hat(i)+hat(j)-2hat(k))' N with velocity at (2(i)+2hat(j)+3h...

    Text Solution

    |

  7. A body of mass 1 kg begins to move under the action of a time dependen...

    Text Solution

    |

  8. When vec(A)*vec(B)=-|vec(A)||vec(B)|, then

    Text Solution

    |

  9. The angle between the two vectors, (vec(A)=3hat(i)+4hatj+5hat(k)) and ...

    Text Solution

    |

  10. The angle theta between the vector vec(p)=hat(i)+hat(j)+hat(k) and uni...

    Text Solution

    |

  11. Angle between the vectors (hat(i)+hat(j))and (hat(j)-hat(k)) is

    Text Solution

    |

  12. A particle moves in the x-y plane under the action of a force vecF suc...

    Text Solution

    |

  13. In a triangle ABC, the sides AB and AC represented by the vector 3hat(...

    Text Solution

    |

  14. In a clockwise system :-

    Text Solution

    |

  15. For vectors vec(A) and vec(B) making an angle theta which one of the f...

    Text Solution

    |

  16. A vector vec(A) points verically upward and vec(B) points towards nort...

    Text Solution

    |

  17. Which of the following relation is not correct?

    Text Solution

    |

  18. What is the value of linear velocity if vecomega = 3 hati - 4hatj + ha...

    Text Solution

    |

  19. If vec(A)xxvec(B)=vec(B)xxvec(A), then the angle between vec(A) and ve...

    Text Solution

    |

  20. The moment of the force, vec F = 4 hat i + 5 hat j - 6 hat k at (2,0,-...

    Text Solution

    |