Home
Class 11
PHYSICS
Which of the following is the unit vecto...

Which of the following is the unit vector perpendicular to `vec(A)` and `vec(B)`?

A

`(hat(A) xx hat(B))/(AB sin theta)`

B

`(hat(A) xx hat(B))/(AB cos theta)`

C

`(vec(A) xx vec(B))/(AB sin theta)`

D

`(vec(A) xx vec(B))/(AB cos theta)`

Text Solution

Verified by Experts

The correct Answer is:
C
Unit vector perpendicular to `vec(A) " & " vec(B)`
`vec(A) xx vec(B) = AB sin theta hat(n)`
`hat(n)= (vec(A) xx vec(B))/(AB sin theta)`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS AND VECTORS

    ERRORLESS|Exercise NCERT Based Questions (Lami.s Theorem)|2 Videos

  • BASIC MATHEMATICS AND VECTORS

    ERRORLESS|Exercise Past Years Questions |12 Videos

  • BASIC MATHEMATICS AND VECTORS

    ERRORLESS|Exercise NCERT Based Questions (Addition and Subtraction of Vectors )|34 Videos

  • ELASTICITY

    ERRORLESS|Exercise ASSERTION & REASON |10 Videos

Similar Questions

Explore conceptually related problems

If vec(c ) is the unit vector perpendicular to both the vector vec(a) and vec(b) , then what is another unit vector perpendicular to both the vectors vec(a) and vec(b) ?

Two vectors vec A and vec B are inclined to each other at an angle theta . Then a unit vector perpendicular to both vec A and vec B

Vector component of vector vec b perpendicular to vec a is

Let vec a,vec b,vec c be three non-zero vectors such that vec c is a unit vector perpendicular to both vec a and vec b. If the between vec a and vec b is pi/6 prove that [vec avec bvec c]^(2)=(1)/(4)|vec a|^(2)|vec b|^(2)

If vec a,vec b,vec c are position vector of vertices of a triangle ABC,then unit vector perpendicular to its plane is

There are two vector vec(A)=3hat(i)+hat(j) and vec(B)=hat(j)+2hat(k) . For these two vectors- (i) Find the component of vec(A) along vec(B) and perpendicular to vec(B) in vector form. (ii) If vec(A) & vec(B) are the adjacent sides of parallelogram then find the magnitude of its area. (iii) Find a unit vector which is perpendicular to both vec(A) & vec(B) .

If vec c is a unit vector perpendicular to the vectors vec a\ a n d\ vec b write another unit vector perpendicular vec a\ a n d\ vec bdot

let vec a=hat i+hat j-hat k and vec b=hat i-hat j-hat k and vec c be a unit vector perpendicular to vec a and coplanarwith vec a and vec b then vec c is

Let theta be the angle between two vectors vec A and vec B and hat n is a unit vector perpendicular to their plane.

ERRORLESS-BASIC MATHEMATICS AND VECTORS-NCERT Based Questions (Multiplication of Vectors )
  1. Vectors which is perpendicular to ( a cos theta hat (i) + b sin theta ...

    Text Solution

    |

  2. Given vec(A) = 3hat(i) + 2hat(j) and vec(B) = hat(i) + hat(j). The com...

    Text Solution

    |

  3. If vec(A)=2hat(i)+3hat(j)-hat(k) and vec(B)=-hat(i)+3hat(j)+4hat(k), t...

    Text Solution

    |

  4. If hat(i), hat(j) and hat(k) represent unit vectors along the x, y and...

    Text Solution

    |

  5. If for two vectors vec(A) and vec(B), sum (vec(A)+vec(B)) is perpendic...

    Text Solution

    |

  6. The angle between vec(A)+vec(B) and vec(A)xxvec(B) is

    Text Solution

    |

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

    Text Solution

    |

  8. Which of the following is the unit vector perpendicular to vec(A) and ...

    Text Solution

    |

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

    Text Solution

    |

  10. If vec(A)xxvec(B)=vec(C ), then which of the following statements is w...

    Text Solution

    |

  11. Consider a vector vecF=4hati-3hatj. Another vector that is perpendicul...

    Text Solution

    |

  12. If a particle of mass m is moving with constant velocity v parallel to...

    Text Solution

    |

  13. vector veca lies in the xy plane, has a magnitude of 18 units, and poi...

    Text Solution

    |

  14. The area of the paralleogram represented by the vectors vec(A)= 2hat(i...

    Text Solution

    |

  15. What is the unit vector perpendicular to the following Vector 2hat(i)+...

    Text Solution

    |

  16. If vec(A)=2hat(i)+3hat(j)-hat(k) and vec(B)=-hat(i)+3hat(j)+4hat(k), t...

    Text Solution

    |

  17. The angle between the vector vec(A) and vec(B) is theta. Find the valu...

    Text Solution

    |

  18. vec(A) and vec(B) are two Vectors and theta is the angle between them,...

    Text Solution

    |

  19. If |vec(A)xxvec(B)|=sqrt(3)vec(A).vec(B), then the value of |vec(A)+ve...

    Text Solution

    |

  20. For any two vectors A and B, if vec(A).vec(B) = |vec(A) xx vec(B)|, th...

    Text Solution

    |